Move "dependents count update" out of release (#20100)

Co-authored-by: fisker <lionkay@gmail.com>

.github/workflows/update-dependents-count.yml

@@ -0,0 +1,44 @@
+name: Update dependents count
+
+on:
+  workflow_dispatch:
+  schedule:
+    # “At 00:00 on day-of-month 1.” https://crontab.guru/#0_0_1_*_*
+    - cron: "0 0 1 * *"
+
+permissions:
+  pull-requests: write
+  contents: write
+
+jobs:
+  run:
+    name: Update dependents count
+    if: github.event_name != 'schedule' || github.repository == 'prettier/prettier'
+    runs-on: ubuntu-latest
+    steps:
+      - name: Checkout
+        uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7.0.1
+
+      - name: Setup Node.js
+        uses: actions/setup-node@820762786026740c76f36085b0efc47a31fe5020 # v7.0.0
+        with:
+          cache: "yarn"
+
+      - name: Install Dependencies
+        run: yarn --immutable
+
+      - name: Run script
+        run: node scripts/update-dependents-count.js
+
+      - name: Format website
+        run: yarn prettier website/src/pages/index.jsx --write
+
+      - name: Set current date env
+        run: echo "CURRENT_DATE=$(date +'%Y-%m-%d')" >> "$GITHUB_ENV"
+
+      - uses: peter-evans/create-pull-request@5f6978faf089d4d20b00c7766989d076bb2fc7f1 # v8.1.1
+        with:
+          commit-message: Update dependents count (${{ env.CURRENT_DATE }})
+          branch: automated-update-dependents-count-${{ env.CURRENT_DATE }}
+          branch-suffix: timestamp
+          title: Update dependents count (${{ env.CURRENT_DATE }})