ci: improve pipeline for documentation

- Add cache and restore `node_modules` step
- Add path filtering
- Add `fetch-depth` and `fetch-tags` for checkout step
- Rename file to be snake_case

.github/workflows/doc_generator.yml

@@ -0,0 +1,89 @@
+name: Documentation CI
+
+on:
+  push:
+    branches:
+      - main
+  pull_request:
+    branches:
+      - '**'
+    paths:
+      - 'website/**'
+      - '.github/**'
+      - '.yarn/**'
+      - .yarnrc.yml
+      - .npmignore
+      - .gitignore
+
+concurrency:
+  group: doc-generator-${{ github.event.pull_request.number || github.ref }}
+  cancel-in-progress: true
+
+jobs:
+  checks:
+    if: github.event_name != 'push'
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout 🛎️
+        uses: actions/checkout@v4 # If you're using actions/checkout@v3 you must set persist-credentials to false in most cases for the deployment to work correctly.
+        with:
+          persist-credentials: false
+          fetch-depth: 20
+          fetch-tags: false
+
+      - name: Restore cached node modules ♻️
+        id: cache-yarn
+        uses: actions/cache@v4
+        with:
+          path: |
+            website/node_modules
+            website/.yarn
+          key: ${{ runner.os }}-build-doc-${{ hashFiles('**/yarn.lock') }}
+          restore-keys: ${{ runner.os }}-build-doc
+
+      - name: Install 🔧
+        if: ${{ steps.cache-yarn.outputs.cache-hit != 'true' }}
+        run: yarn
+        working-directory: website
+
+      - name: Build 🔨
+        run: yarn build
+        working-directory: website
+
+  build-and-deploy:
+    if: github.event_name != 'pull_request'
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout 🛎️
+        uses: actions/checkout@v4 # If you're using actions/checkout@v3 you must set persist-credentials to false in most cases for the deployment to work correctly.
+        with:
+          persist-credentials: false
+          fetch-depth: 20
+          fetch-tags: false
+
+      - name: Restore cached node modules ♻️
+        id: cache-yarn
+        uses: actions/cache@v4
+        with:
+          path: |
+            website/node_modules
+            website/.yarn
+          key: ${{ runner.os }}-build-doc-${{ hashFiles('**/yarn.lock') }}
+          restore-keys: ${{ runner.os }}-build-doc
+
+      - name: Install 🔧
+        if: ${{ steps.cache-yarn.outputs.cache-hit != 'true' }}
+        run: yarn
+        working-directory: website
+
+      - name: Build 🔨
+        run: yarn build
+        working-directory: website
+
+      - name: Deploy 🚀
+        uses: JamesIves/github-pages-deploy-action@v4.6.0
+        with:
+          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+          BRANCH: gh-pages # The branch the action should deploy to.
+          FOLDER: website/build # The folder the action should deploy.
+          CLEAN: true # Automatically remove deleted files from the deploy branch