feat: enable full output logging in claude-code-action workflows

Added show_full_output: true to both pr-assignment-check and
pr-stale-check workflows for better debugging and transparency.

Author: maxprilutskiy

.github/workflows/pr-assignment-check.yml

@@ -26,6 +26,7 @@ jobs:
         with:
           anthropic_api_key: ${{ secrets.CLAUDE_CODE_API_KEY }}
           github_token: ${{ secrets.GITHUB_TOKEN }}
+          show_full_output: true
           prompt: |
             EXEMPT USERS: @maxprilutskiy, @vrcprl, @davidturnbull, @monicabe, @sumitsaurabh927, @AleksandrSl (skip all checks if PR author is one of these)
 

.github/workflows/pr-stale-check.yml

@@ -21,6 +21,7 @@ jobs:
         with:
           anthropic_api_key: ${{ secrets.CLAUDE_CODE_API_KEY }}
           github_token: ${{ secrets.GITHUB_TOKEN }}
+          show_full_output: true
           prompt: |
             EXEMPT USERS: @maxprilutskiy, @vrcprl, @davidturnbull, @monicabe, @sumitsaurabh927, @AleksandrSl