diff --git a/package-lock.json b/package-lock.json
index b064612..bb5e26a 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -35,7 +35,7 @@
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         "eslint": "^9.16.0",
         "globals": "^15.12.0",
-        "markdownlint": "^0.36.1",
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         "nodemon": "^3.1.7",
         "npm-run-all": "^4.1.5",
@@ -678,6 +678,15 @@
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+      "resolved": "https://registry.npmjs.org/@types/debug/-/debug-4.1.12.tgz",
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+      "dev": true,
+      "dependencies": {
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+      }
+    },
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       "resolved": "https://registry.npmjs.org/@types/estree/-/estree-1.0.6.tgz",
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+    "node_modules/@types/katex": {
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+      "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.7.tgz",
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+      "dev": true
+    },
+    "node_modules/@types/ms": {
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+      "resolved": "https://registry.npmjs.org/@types/ms/-/ms-0.7.34.tgz",
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+    },
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       "resolved": "https://registry.npmjs.org/@types/node/-/node-22.5.5.tgz",
@@ -698,6 +719,12 @@
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+    "node_modules/@types/unist": {
+      "version": "2.0.11",
+      "resolved": "https://registry.npmjs.org/@types/unist/-/unist-2.0.11.tgz",
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+      "dev": true
+    },
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@@ -1036,6 +1063,36 @@
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       }
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+    "node_modules/character-entities": {
+      "version": "2.0.2",
+      "resolved": "https://registry.npmjs.org/character-entities/-/character-entities-2.0.2.tgz",
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+      "dev": true,
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
+    "node_modules/character-entities-legacy": {
+      "version": "3.0.0",
+      "resolved": "https://registry.npmjs.org/character-entities-legacy/-/character-entities-legacy-3.0.0.tgz",
+      "integrity": "sha512-RpPp0asT/6ufRm//AJVwpViZbGM/MkjQFxJccQRHmISF/22NBtsHqAWmL+/pmkPWoIUJdWyeVleTl1wydHATVQ==",
+      "dev": true,
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
+    "node_modules/character-reference-invalid": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/character-reference-invalid/-/character-reference-invalid-2.0.1.tgz",
+      "integrity": "sha512-iBZ4F4wRbyORVsu0jPV7gXkOsGYjGHPmAyv+HiHG8gi5PtC9KI2j1+v8/tlibRvjoWX027ypmG/n0HtO5t7unw==",
+      "dev": true,
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
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@@ -1421,6 +1478,19 @@
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+    "node_modules/decode-named-character-reference": {
+      "version": "1.0.2",
+      "resolved": "https://registry.npmjs.org/decode-named-character-reference/-/decode-named-character-reference-1.0.2.tgz",
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+      "dev": true,
+      "dependencies": {
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+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
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@@ -1482,6 +1552,15 @@
         "node": ">= 0.8"
       }
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+    "node_modules/dequal": {
+      "version": "2.0.3",
+      "resolved": "https://registry.npmjs.org/dequal/-/dequal-2.0.3.tgz",
+      "integrity": "sha512-0je+qPKHEMohvfRTCEo3CrPG6cAzAYgmzKyxRiYSSDkS6eGJdyVJm7WaYA5ECaAD9wLB2T4EEeymA5aFVcYXCA==",
+      "dev": true,
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       "resolved": "https://registry.npmjs.org/destroy/-/destroy-1.2.0.tgz",
@@ -1492,6 +1571,19 @@
         "npm": "1.2.8000 || >= 1.4.16"
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+    "node_modules/devlop": {
+      "version": "1.1.0",
+      "resolved": "https://registry.npmjs.org/devlop/-/devlop-1.1.0.tgz",
+      "integrity": "sha512-RWmIqhcFf1lRYBvNmr7qTNuyCt/7/ns2jbpp1+PalgE/rDQcBT0fioSMUpJ93irlUhC5hrg4cYqe6U+0ImW0rA==",
+      "dev": true,
+      "dependencies": {
+        "dequal": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
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@@ -2872,6 +2964,30 @@
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+    "node_modules/is-alphabetical": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-alphabetical/-/is-alphabetical-2.0.1.tgz",
+      "integrity": "sha512-FWyyY60MeTNyeSRpkM2Iry0G9hpr7/9kD40mD/cGQEuilcZYS4okz8SN2Q6rLCJ8gbCt6fN+rC+6tMGS99LaxQ==",
+      "dev": true,
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
+      }
+    },
+    "node_modules/is-alphanumerical": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-alphanumerical/-/is-alphanumerical-2.0.1.tgz",
+      "integrity": "sha512-hmbYhX/9MUMF5uh7tOXyK/n0ZvWpad5caBA17GsC6vyuCqaWliRG5K1qS9inmUhEMaOBIW7/whAnSwveW/LtZw==",
+      "dev": true,
+      "dependencies": {
+        "is-alphabetical": "^2.0.0",
+        "is-decimal": "^2.0.0"
+      },
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
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@@ -3000,6 +3116,16 @@
         "url": "https://github.com/sponsors/ljharb"
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+      "resolved": "https://registry.npmjs.org/is-decimal/-/is-decimal-2.0.1.tgz",
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+      "dev": true,
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
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@@ -3033,6 +3159,16 @@
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+    "node_modules/is-hexadecimal": {
+      "version": "2.0.1",
+      "resolved": "https://registry.npmjs.org/is-hexadecimal/-/is-hexadecimal-2.0.1.tgz",
+      "integrity": "sha512-DgZQp241c8oO6cA1SbTEWiXeoxV42vlcJxgH+B3hi1AiqqKruZR3ZGF8In3fj4+/y/7rHvlOZLZtgJ/4ttYGZg==",
+      "dev": true,
+      "funding": {
+        "type": "github",
+        "url": "https://github.com/sponsors/wooorm"
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@@ -3318,6 +3454,31 @@
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+      "version": "0.16.14",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.14.tgz",
+      "integrity": "sha512-tnUUAL/S+f/w8KrRpCFcCW/msuIlBkOmVnTmvdEK6WCkx6uDPRj3d9SBAP+qB5x0MCeOyUbdbIMtT5cUJD8aRw==",
+      "dev": true,
+      "funding": [
+        "https://opencollective.com/katex",
+        "https://github.com/sponsors/katex"
+      ],
+      "dependencies": {
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+      },
+      "bin": {
+        "katex": "cli.js"
+      }
+    },
+    "node_modules/katex/node_modules/commander": {
+      "version": "8.3.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-8.3.0.tgz",
+      "integrity": "sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==",
+      "dev": true,
+      "engines": {
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@@ -3478,13 +3639,19 @@
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+      "resolved": "https://registry.npmjs.org/markdownlint/-/markdownlint-0.37.0.tgz",
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       "dependencies": {
         "markdown-it": "14.1.0",
-        "markdownlint-micromark": "0.1.12"
+        "micromark": "4.0.1",
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+        "micromark-extension-gfm-autolink-literal": "2.1.0",
+        "micromark-extension-gfm-footnote": "2.1.0",
+        "micromark-extension-gfm-table": "2.1.0",
+        "micromark-extension-math": "3.1.0",
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@@ -3569,6 +3736,22 @@
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+      "resolved": "https://registry.npmjs.org/markdownlint/-/markdownlint-0.36.1.tgz",
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@@ -3679,6 +3862,540 @@
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+      "funding": [
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+          "type": "GitHub Sponsors",
+          "url": "https://github.com/sponsors/unifiedjs"
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+    "node_modules/micromark/node_modules/debug": {
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+      "resolved": "https://registry.npmjs.org/debug/-/debug-4.4.0.tgz",
+      "integrity": "sha512-6WTZ/IxCY/T6BALoZHaE4ctp9xm+Z5kY/pzYaCHRFeyVhojxlrm+46y68HA6hr0TcwEssoxNiDEUJQjfPZ/RYA==",
+      "dev": true,
+      "dependencies": {
+        "ms": "^2.1.3"
+      },
+      "engines": {
+        "node": ">=6.0"
+      },
+      "peerDependenciesMeta": {
+        "supports-color": {
+          "optional": true
+        }
+      }
+    },
+    "node_modules/micromark/node_modules/ms": {
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+      "resolved": "https://registry.npmjs.org/ms/-/ms-2.1.3.tgz",
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     "node_modules/micromatch": {
       "version": "4.0.8",
       "resolved": "https://registry.npmjs.org/micromatch/-/micromatch-4.0.8.tgz",
@@ -4321,6 +5038,26 @@
         "node": ">=6"
       }
     },
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+      "dependencies": {
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+        "character-entities": "^2.0.0",
+        "character-entities-legacy": "^3.0.0",
+        "character-reference-invalid": "^2.0.0",
+        "decode-named-character-reference": "^1.0.0",
+        "is-alphanumerical": "^2.0.0",
+        "is-decimal": "^2.0.0",
+        "is-hexadecimal": "^2.0.0"
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diff --git a/package.json b/package.json
index 1c40ef0..ac564ac 100644
--- a/package.json
+++ b/package.json
@@ -34,7 +34,7 @@
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     "globals": "^15.12.0",
-    "markdownlint": "^0.36.1",
+    "markdownlint": "^0.37.0",
     "markdownlint-cli": "^0.43.0",
     "nodemon": "^3.1.7",
     "npm-run-all": "^4.1.5",