fix: Allow polecat/* branches, remove hanoi test formulas

- Update pre-push hook to allow polecat/* branches (Refinery merges these)
- Remove towers-of-hanoi formulas (test fixtures, not production)

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

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

.githooks/pre-push

@@ -1,29 +1,30 @@
 #!/bin/bash
-# Block pushes to non-main branches from internal clones
-# External contributors use forks, so this only affects Gas Town agents
+# Block PRs by preventing pushes to arbitrary feature branches.
+# Gas Town agents push to main (crew) or polecat/* branches (polecats).
+# PRs are for external contributors only.
 
-# Allow: main, beads-sync
-# Block: feature branches, polecat/* branches, etc.
+# Allowed patterns:
+#   main, beads-sync  - Direct work branches
+#   polecat/*         - Polecat working branches (Refinery merges these)
 
 while read local_ref local_sha remote_ref remote_sha; do
   branch="${remote_ref#refs/heads/}"
 
   case "$branch" in
-    main|beads-sync)
+    main|beads-sync|polecat/*)
       # Allowed branches
       ;;
     *)
-      echo "ERROR: Gas Town agents push directly to main."
+      echo "ERROR: Invalid branch for Gas Town agents."
       echo ""
       echo "Blocked push to: $branch"
       echo ""
-      echo "If you're working on a fix:"
-      echo "  git checkout main"
-      echo "  git merge $branch"
-      echo "  git push origin main"
-      echo "  git branch -d $branch"
+      echo "Allowed branches:"
+      echo "  main        - Crew workers push here directly"
+      echo "  polecat/*   - Polecat working branches"
+      echo "  beads-sync  - Beads synchronization"
       echo ""
-      echo "See CLAUDE.md: 'Crew workers push directly to main. No feature branches.'"
+      echo "Do NOT create PRs. Push to main or let Refinery merge polecat work."
       exit 1
       ;;
   esac