Update installers for new agents and sync script

Interactive installer:
- Fix agents source path (was claude-complete-package/agents, now agents/)
- Add mkdir -p for each agent category
- Install sync-agents.sh script to ~/.claude/
- Remove duplicate bonus section

Verify script:
- Add checks for new critical agents:
  - experiment-tracker
  - studio-coach
  - agent-updater
- Add sync-agents.sh existence and executable check

verify-claude-setup.sh

@@ -148,9 +148,12 @@ CRITICAL_AGENTS=(
     "engineering/frontend-developer.md"
     "marketing/tiktok-strategist.md"
     "product/sprint-prioritizer.md"
-    "studio-operations/studio-producer.md"
+    "project-management/studio-producer.md"
     "project-management/project-shipper.md"
+    "project-management/experiment-tracker.md"
     "design/whimsy-injector.md"
+    "bonus/studio-coach.md"
+    "bonus/agent-updater.md"
 )
 
 for agent in "${CRITICAL_AGENTS[@]}"; do
@@ -190,7 +193,24 @@ if [ -f "$CLAUDE_DIR/settings.json" ]; then
     fi
 fi
 
-# 7. Summary
+# 7. Sync Script Check
+echo ""
+echo "═══════════════════════════════════════════════════════════"
+echo "Sync Script Check"
+echo "═══════════════════════════════════════════════════════════"
+
+if [ -f "$CLAUDE_DIR/sync-agents.sh" ]; then
+    check_pass "sync-agents.sh script exists"
+    if [ -x "$CLAUDE_DIR/sync-agents.sh" ]; then
+        check_pass "sync-agents.sh is executable"
+    else
+        check_warn "sync-agents.sh exists but is not executable"
+    fi
+else
+    check_warn "sync-agents.sh not found (optional, for updating agents)"
+fi
+
+# 8. Summary
 echo ""
 echo "═══════════════════════════════════════════════════════════"
 echo "Summary"