ci: update deployment workflow

.github/workflows/deploy-mkdocs.yml

@@ -5,6 +5,8 @@ on:
     workflows: ["Test"]
     types:
       - completed
+    branches:
+      - main
   workflow_dispatch:
 
 permissions:
@@ -17,57 +19,17 @@ concurrency:
   cancel-in-progress: false
 
 jobs:
-  check-docs-changed:
-    name: Check Docs Changes
-    runs-on: ubuntu-latest
+  build:
+    name: Build Website
     if: >
       github.event_name == 'workflow_dispatch' ||
       github.event.workflow_run.conclusion == 'success'
-    outputs:
-      docs_changed: ${{ steps.filter.outputs.docs_changed }}
-      head_sha: ${{ steps.get-sha.outputs.sha }}
-    steps:
-      - name: Checkout
-        uses: actions/checkout@v4
-        with:
-          fetch-depth: 0
-          ref: ${{ github.event.workflow_run.head_sha || github.sha }}
-
-      - name: Get SHA
-        id: get-sha
-        run: echo "sha=${{ github.event.workflow_run.head_sha || github.sha }}" >> $GITHUB_OUTPUT
-
-      - name: Check if docs changed
-        id: filter
-        run: |
-          if [ "${{ github.event_name }}" = "workflow_dispatch" ]; then
-            echo "docs_changed=true" >> $GITHUB_OUTPUT
-          else
-            BEFORE="${{ github.event.workflow_run.event == 'push' && github.event.workflow_run.head_commit.id || '' }}"
-            BASE=$(git rev-parse HEAD~1 2>/dev/null || echo "")
-            if [ -z "$BASE" ]; then
-              echo "docs_changed=true" >> $GITHUB_OUTPUT
-            else
-              CHANGED=$(git diff --name-only $BASE HEAD)
-              echo "Changed files: $CHANGED"
-              if echo "$CHANGED" | grep -qE '^docs/|^mkdocs\.yml'; then
-                echo "docs_changed=true" >> $GITHUB_OUTPUT
-              else
-                echo "docs_changed=false" >> $GITHUB_OUTPUT
-              fi
-            fi
-          fi
-
-  build:
-    name: Build Website
-    needs: check-docs-changed
-    if: needs.check-docs-changed.outputs.docs_changed == 'true'
     runs-on: ubuntu-latest
     steps:
       - name: Checkout
         uses: actions/checkout@v4
         with:
-          ref: ${{ needs.check-docs-changed.outputs.head_sha }}
+          ref: ${{ github.event.workflow_run.head_sha || github.sha }}
 
       - name: Setup Python
         uses: actions/setup-python@v5
@@ -94,11 +56,7 @@ jobs:
 
   deploy:
     name: Deploy to GitHub Pages
-    needs: [check-docs-changed, build]
-    if: >
-      needs.check-docs-changed.outputs.docs_changed == 'true' &&
-      (github.event_name == 'workflow_dispatch' ||
-      github.event.workflow_run.head_branch == 'main')
+    needs: build
     runs-on: ubuntu-latest
     environment: # GitHub Pages deployment environment
       name: "github-pages"