fix(push-workflows): Use GH_PAT directly

.github/workflows/document.yaml

@@ -17,8 +17,7 @@ jobs:
     if: ${{ inputs.run }}
     name: 📖 Document
     runs-on: ubuntu-latest
-    env:
-      GH_PAT: ${{ secrets.GH_PAT }}
+
     steps:
       - name: Checkout repo
         uses: actions/checkout@v4
@@ -48,4 +47,5 @@ jobs:
           git switch ${{ inputs.branch_name }}
           git add man/\* NAMESPACE DESCRIPTION
           git commit -m "docs: update documentation" || echo "No changes to commit"
-          git push
+          git remote set-url origin https://$GITHUB_ACTOR:${{ secrets.GH_PAT }}@github.com/$GITHUB_REPOSITORY.git
+          git push origin ${{ inputs.branch_name }}

.github/workflows/render-readme.yaml

@@ -13,8 +13,7 @@ jobs:
     if: ${{ inputs.run }}
     name: 📖 README
     runs-on: ubuntu-latest
-    env:
-      GH_PAT: ${{ secrets.GH_PAT }}
+
     steps:
       - name: Checkout repo
         uses: actions/checkout@v4
@@ -61,4 +60,5 @@ jobs:
           git config --local user.email "[email protected]"
           git switch ${{ inputs.branch_name }}
           git commit README.md -m 'docs(README): Re-build README.Rmd' || echo "No changes to commit"
-          git push
+          git remote set-url origin https://$GITHUB_ACTOR:${{ secrets.GH_PAT }}@github.com/$GITHUB_REPOSITORY.git
+          git push origin ${{ inputs.branch_name }}

.github/workflows/update-lockfile.yaml

@@ -16,8 +16,6 @@ jobs:
     name: 🛠️ Store dependency versions
     if: ${{ inputs.run }}
     runs-on: ubuntu-latest
-    env:
-      GH_PAT: ${{ secrets.GH_PAT }}
 
     steps:
       - name: Checkout repo
@@ -48,4 +46,5 @@ jobs:
           git switch ${{ inputs.branch_name }}
           git add pak.lock
           git commit -m "chore: update pak.lock" || echo "No changes to commit"
-          git push
+          git remote set-url origin https://$GITHUB_ACTOR:${{ secrets.GH_PAT }}@github.com/$GITHUB_REPOSITORY.git
+          git push origin ${{ inputs.branch_name }}