[docs]: Fixes and deployment to gh-pages #1

	name: Deploy Sphinx Docs to GitHub Pages

	on:
	pull_request:
	branches:
	- main # Trigger on pull requests targeting main
	workflow_run:
	workflows:
	- ICON4Py Quality Assurance
	types:
	- completed
	workflow_dispatch: # Allow manual triggering

	jobs:
	build:
	name: Deploy Sphinx Documentation
	runs-on: ubuntu-latest

	steps:
	# Step 1: Checkout the repository
	- name: Checkout repository
	uses: actions/checkout@v3

	# Step 2: Restore Python dependencies
	- name: Restore Python dependencies
	uses: actions/cache@v3
	with:
	path: ~/.cache/pip
	key: ${{ runner.os }}-pip-${{ hashFiles('*/requirements.txt') }}
	restore-keys: \|
	${{ runner.os }}-pip-

	# Step 3: Set up Python
	- name: Set up Python
	uses: actions/setup-python@v4
	with:
	python-version: "3.10"

	# Step 4: Build Sphinx documentation
	- name: Build documentation
	run: \|
	cd model/atmosphere/dycore/docs
	make html

	# Step 5: Deploy to GitHub Pages
	- name: Deploy to GitHub Pages
	uses: peaceiris/actions-gh-pages@v4
	with:
	github_token: ${{ secrets.GITHUB_TOKEN }}
	publish_dir: model/atmosphere/dycore/docs/_build/html

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