gh-40654: Fix release workflow to trigger changelog workflow
    
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Fixes
#39024 (comment). For
why, see
#39024 (comment)

To see if this works well, after merged, we can just watch

https://github.com/sagemath/website/actions/workflows/generate_changelog
.yml

after the next stable release.


### 📝 Checklist

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- [x] I have linked a relevant issue or discussion.
- [ ] I have created tests covering the changes.
- [ ] I have updated the documentation and checked the documentation
preview.

### ⌛ Dependencies

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URL: #40654
Reported by: Kwankyu Lee
Reviewer(s): Kwankyu Lee, Tobias Diez, user202729

Author: Release Manager

.github/workflows/dist.yml

@@ -85,7 +85,7 @@ jobs:
       CAN_DEPLOY: ${{ secrets.SAGEMATH_PYPI_API_TOKEN != '' && github.event_name != 'pull_request' }}
     steps:
       - uses: actions/checkout@v4
-    
+
       - name: Setup Conda environment
         uses: conda-incubator/setup-miniconda@v3
         with:
@@ -141,14 +141,14 @@ jobs:
           path: dist
       - name: Create release
         env:
-          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+          GITHUB_PAT: ${{ secrets.RELEASE_CREATION_TOKEN }}
         run: |
           latest_release_tag=$(curl -s https://api.github.com/repos/${{ github.repository }}/releases \
           | jq -r 'sort_by(.created_at) | last(.[]).tag_name')
           release_notes=$(curl -s \
             -X POST \
             -H "Accept: application/vnd.github+json" \
-            -H "Authorization: Bearer $GITHUB_TOKEN" \
+            -H "Authorization: Bearer $GITHUB_PAT" \
             -H "X-GitHub-Api-Version: 2022-11-28" \
             https://api.github.com/repos/${{ github.repository }}/releases/generate-notes \
             -d "{
@@ -160,7 +160,7 @@ jobs:
           curl -L \
             -X POST \
             -H "Accept: application/vnd.github+json" \
-            -H "Authorization: Bearer $GITHUB_TOKEN" \
+            -H "Authorization: Bearer $GITHUB_PAT" \
             -H "X-GitHub-Api-Version: 2022-11-28" \
             https://api.github.com/repos/${{ github.repository }}/releases \
             -d "{
@@ -174,6 +174,8 @@ jobs:
           files: |
             dist/*
             upstream/*
+          token: ${{ secrets.GITHUB_TOKEN }}
+          tag_name: ${{ github.ref_name }}
     permissions:
       contents: write