github: Remove unused permissions from docs-check job

- Eliminated unnecessary `id-token`, `contents`, `packages`, and
  `pull-requests` permissions from the `docs-check` job in
  `.github/workflows/test-and-publish.yml`.
- Simplified the workflow configuration by retaining only required steps.

Assisted-by: Codex

Author: datalogics-kam

.github/workflows/test-and-publish.yml

@@ -15,11 +15,6 @@ jobs:
   docs-check:
     name: Docs Check
     runs-on: ubuntu-latest
-    permissions:
-      id-token: write
-      contents: read
-      packages: write
-      pull-requests: write
     steps:
       - uses: actions/checkout@v4
       - name: Install uv