tim plugin, chat bot sync notifications, test fixes

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

public/plugins/terminal/terminal.js

@@ -203,6 +203,10 @@ register('search', 'search <query> — open search with query', (args) => {
 });
 
 register('calendar', 'open calendar', () => { window._openCalendar?.(); print('calendar opened', 'ok'); });
+register('tim', 'open time calculator', () => {
+    if (window._timToggle) { window._timToggle(); print('tim opened', 'ok'); }
+    else print('tim plugin not loaded', 'err');
+});
 register('assets', 'open assets gallery', () => { window._openGallery?.(); print('assets opened', 'ok'); });
 
 register('export', 'download export ZIP', () => {