Fix issues #6, #7, #11, #12, #13: med reminders, push notifications, auth persistence, scheduling conflicts

- Fix TIME object vs string comparison in scheduler preventing adaptive med
  reminders from ever firing (#12, #6)
- Add frequency filtering to midnight schedule creation for every_n_days meds
- Require start_date and interval_days for every_n_days medications
- Add refresh token support (30-day) to API and bot for persistent sessions (#13)
- Add "trusted device" checkbox to frontend login for long-lived sessions (#7)
- Auto-refresh expired tokens in both bot (apiRequest) and frontend (api.ts)
- Restore bot sessions from cache on restart using refresh tokens
- Duration-aware routine scheduling conflict detection (#11)
- Add conflict check when starting routine sessions against medication times
- Add diagnostic logging to notification delivery channels

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

synculous-client/src/app/login/page.tsx

@@ -9,6 +9,7 @@ export default function LoginPage() {
   const [isLogin, setIsLogin] = useState(true);
   const [username, setUsername] = useState('');
   const [password, setPassword] = useState('');
+  const [trustDevice, setTrustDevice] = useState(false);
   const [error, setError] = useState('');
   const [isLoading, setIsLoading] = useState(false);
   const { login, register } = useAuth();
@@ -21,10 +22,10 @@ export default function LoginPage() {
 
     try {
       if (isLogin) {
-        await login(username, password);
+        await login(username, password, trustDevice);
       } else {
         await register(username, password);
-        await login(username, password);
+        await login(username, password, trustDevice);
       }
       router.push('/');
     } catch (err) {
@@ -80,6 +81,18 @@ export default function LoginPage() {
             />
           </div>
 
+          {isLogin && (
+            <label className="flex items-center gap-2 text-sm text-gray-600 dark:text-gray-400">
+              <input
+                type="checkbox"
+                checked={trustDevice}
+                onChange={(e) => setTrustDevice(e.target.checked)}
+                className="w-4 h-4 rounded border-gray-300 text-indigo-500 focus:ring-indigo-500"
+              />
+              This is a trusted device
+            </label>
+          )}
+
           <button
             type="submit"
             disabled={isLoading}