fix: remove environment requirement from sync workflow

Removes manual approval gate for fully automated doc sync.
Security validation still runs automatically.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

.github/workflows/sync-public-docs.yml

@@ -22,9 +22,6 @@ on:
 jobs:
   validate-and-sync:
     runs-on: ubuntu-latest
-    environment:
-      name: public-sync
-      # This creates a manual approval gate for sensitive changes
 
     steps:
       - name: Checkout Private Repository