Fix mkdocs workflow (Open-CMSIS-Pack#243)

## Fixes
<!-- List the issue(s) this PR resolves -->

-

## Changes
<!-- List the changes this PR introduces -->

-

## Checklist
<!-- Put an `x` in the boxes. All tasks must be completed and boxes
checked before merging. -->

- [ ] 🤖 This change is covered by unit tests as required.
- [ ] 🤹 All required manual testing has been performed.
- [ ] 🛡️ Security impacts have been considered.
- [ ] 📖 All documentation updates are complete.
- [ ] 🧠 This change does not change third-party dependencies

.github/workflows/mkdocs.yml

@@ -10,6 +10,7 @@ on:
     paths:
       - '.github/workflows/mkdocs.yml'
       - 'docs/**/*'
+  workflow_dispatch:
 
 concurrency:
   group: ${{ github.workflow }}-${{ github.ref }}
@@ -45,8 +46,9 @@ jobs:
           path: site/
 
   publish:
-    if: ${{ github.event_name == 'push' }}
+    if: ${{ github.event_name == 'push' || github.event_name == 'workflow_dispatch' }}
     runs-on: ubuntu-latest
+    needs: build
     steps:
       - name: Checkout cmsis-toolbox
         uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
@@ -59,7 +61,6 @@ jobs:
       - uses: actions/download-artifact@fa0a91b85d4f404e444e00e005971372dc801d16 # v4.1.8
         with:
           name: docs
-          path: .
 
       - name: Commit new content
         run: |