Update the Claude Code action to v1

[danbarr]

Now that the Claude Code action has reached v1, Anthropic has stopped bumping the beta tag.

Updating per the migration guide and the example.

Signed-off-by: Dan Barr 6922515+danbarr@users.noreply.github.com

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 48.29%. Comparing base (a517677) to head (4af4309).
⚠️ Report is 3 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2076      +/-   ##
==========================================
+ Coverage   48.27%   48.29%   +0.02%     
==========================================
  Files         236      236              
  Lines       29900    29900              
==========================================
+ Hits        14434    14441       +7     
+ Misses      14367    14362       -5     
+ Partials     1099     1097       -2     

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[Copilot]

Pull Request Overview

Updates the Claude Code action from the deprecated beta tag to the stable v1 release, following Anthropic's migration guide after the action reached v1 and the beta tag stopped being updated.

• Updated action reference from @beta to @v1 with specific commit hash
• Simplified job configuration by removing deprecated parameters and comments
• Added required permissions and timeout configuration for v1 compatibility

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