Fix workflow dispatch permission error in deploy-site job

[Copilot]

The deploy-site job in publish-maven.yml was failing with HTTP 403 when triggering the documentation deployment workflow.

Changes

• Added actions: write permission to deploy-site job to enable workflow dispatch

deploy-site:
    name: Deploy Documentation
    needs: [publish-maven, github-release]
    runs-on: ubuntu-latest
    permissions:
        actions: write
        contents: read
    steps:
        - name: Trigger site deployment
          run: |
              gh workflow run deploy-site.yml \
                --repo ${{ github.repository }} \
                -f version="${{ needs.publish-maven.outputs.version }}" \
                -f publish_as_latest=true

The workflow-level permissions (contents: write, id-token: write) were insufficient for jobs that trigger other workflows via GitHub API.

Original prompt

Fix the failing GitHub Actions workflow Deploy Documentation
Analyze the workflow logs, identify the root cause of the failure, and implement a fix.
Job ID: 61919103232
Job URL: https://github.com/copilot-community-sdk/copilot-sdk-java/actions/runs/21492635999/job/61919103232

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