Rework website update workflow (mihonapp/mihon#1851)

(cherry picked from commit 0d19308054d86db6bcdad17157bc17f4d0453b3d)

.github/workflows/build_preview.yml

@@ -247,5 +247,4 @@ jobs:
             Komikku-x86_64-${{ needs.prepare-build.outputs.TAG_NAME }}.apk
           draft: true
           prerelease: true
-        env:
-          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+          token: ${{ secrets.GITHUB_TOKEN }}

.github/workflows/build_release.yml

@@ -228,13 +228,4 @@ jobs:
             Komikku-x86_64-${{ needs.prepare-build.outputs.VERSION_TAG }}.apk
           draft: true
           prerelease: false
-        env:
-          GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
-
-      - name: Update website on release
-        uses: benc-uk/workflow-dispatch@e2e5e9a103e331dad343f381a29e654aea3cf8fc # v1.2.4
-        with:
-          workflow: deploy
-          repo: komikku-app/komikku-app.github.io
-          ref: "refs/heads/main"
-          token: "${{ secrets.BOT_PAT }}"
+          token: ${{ secrets.GITHUB_TOKEN }}

.github/workflows/update_website.yml

@@ -0,0 +1,21 @@
+name: Update website
+
+on:
+  release:
+    types:
+      - published
+      - deleted
+      - edited
+
+jobs:
+  update_website:
+    runs-on: 'ubuntu-24.04'
+
+    steps:
+      - name: Update website on release
+        uses: benc-uk/workflow-dispatch@e2e5e9a103e331dad343f381a29e654aea3cf8fc # v1.2.4
+        with:
+          workflow: deploy
+          repo: komikku-app/komikku-app.github.io
+          ref: "refs/heads/main"
+          token: "${{ secrets.BOT_PAT }}"