Expose the created branch for downstream usage (#237)

* Expose the created branch for downstream usage

* run bun format

action.yml

@@ -101,6 +101,9 @@ outputs:
   execution_file:
     description: "Path to the Claude Code execution output file"
     value: ${{ steps.claude-code.outputs.execution_file }}
+  branch_name:
+    description: "The branch created by Claude Code for this execution"
+    value: ${{ steps.prepare.outputs.CLAUDE_BRANCH }}
 
 runs:
   using: "composite"