tim plugin, chat bot sync notifications, test fixes

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

public/plugins/tests/calendar.test.js

@@ -47,7 +47,7 @@ describe('Calendar', () => {
         await sleep(200);
         click('#cal-today');
         await sleep(200);
-        const months = ['January','February','March','April','May','June','July','August','September','October','November','December'];
+        const months = ['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'];
         expect($('#cal-title').textContent).toContain(months[new Date().getMonth()]);
     });