Update to point at API index #6

	name: Build Sphinx

	on:
	workflow_dispatch:
	push:
	branches:
	- 'main'

	jobs:
	build-html:
	name: Update website
	runs-on: ubuntu-latest
	permissions:
	contents: write
	concurrency:
	group: ${{ github.workflow }}
	cancel-in-progress: true

	steps:
	- uses: actions/checkout@v4

	# build the doxygen XML for breathe

	- name: Install packages
	run: \|
	sudo apt-get -qq update
	sudo apt-get -qq install doxygen ninja-build libeigen3-dev libglew-dev libxml2-dev qtbase5-dev qtchooser qt5-qmake qtbase5-dev-tools libqt5x11extras5-dev libqt5svg5-dev

	- name: Install Sphinx and requirements
	run: \|
	pip install -U sphinx myst-parser breathe pydata-sphinx-theme sphinxext-rediraffe sphinx-design sphinx-copybutton linkify-it-py pygments

	- name: Build Sphinx
	run: \|
	mkdir public
	cp -pr api public
	cd source
	sphinx-build -j auto -E . ../public
	cd ..
	git status
	shell: bash

	- name: Setup tmate session
	if: ${{ failure() }}
	uses: mxschmitt/action-tmate@v3

	- name: Deploy to gh-pages
	uses: peaceiris/actions-gh-pages@v3
	# If you're changing the branch from main,
	# also change the `main` in `refs/heads/main`
	# below accordingly.
	if: github.ref == 'refs/heads/main'
	with:
	github_token: ${{ secrets.GITHUB_TOKEN }}
	publish_branch: gh-pages

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