anthropic[patch]: Pass custom headers through to request #15037

Job	Run time
Check linting	6m 8s
platform-compatibility (ubuntu-latest)	2m 30s
platform-compatibility (windows-latest)	18m 58s
platform-compatibility (macos-latest)	2m 49s
test-exports / exports-cjs	6m 17s
test-exports / exports-esbuild	5m 54s
test-exports / exports-esm	6m 26s
test-exports / exports-cf	6m 4s
test-exports / exports-tsc	5m 31s
test-exports / exports-vercel	7m 10s
test-exports / exports-vite	6m 50s
	1h 14m 37s

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