Adjustments to the release process (#11410)

As discussed in #11408:

* Improve documentation for the release process.
* Fix the description for the PRs created by the `prepare release pr` workflow.
* Fix pushing tag in the `deploy` workflow.

.github/workflows/deploy.yml

@@ -36,8 +36,10 @@ jobs:
     timeout-minutes: 30
     permissions:
       id-token: write
+      contents: write
     steps:
     - uses: actions/checkout@v3
+
     - name: Download Package
       uses: actions/download-artifact@v3
       with: