Restore detect-api-changes permission to write pull requests

[jack-berg]

The #8592 PR broken the detect-api-changes.yml workflow: https://github.com/open-telemetry/opentelemetry-java/actions/runs/32775533627/job/97585615343?pr=8717

This fixes it.

cc @trask

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 91.29%. Comparing base (49fdc8d) to head (01efbb0).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff            @@
##               main    #8744   +/-   ##
=========================================
  Coverage     91.29%   91.29%           
  Complexity    10498    10498           
=========================================
  Files          1006     1006           
  Lines         28338    28338           
  Branches       3581     3581           
=========================================
  Hits          25870    25870           
  Misses         1675     1675           
  Partials        793      793           

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[opentelemetry-pr-dashboard]

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