feat: implement Phase 2 Core features for AutoScheduler GTD System

- ConnectWise Manage Integration:
  - ConnectWiseModule with service, controller, entity
  - API endpoints for connection CRUD and sync
  - Syncs service tickets, project tickets, zero-ticket projects
  - Stores ConnectWise priority/SLA in task metadata

- Intelligent Calendar Scheduling:
  - CalendarModule with connection and event entities
  - Support for CalDAV, Microsoft Graph, Google Calendar providers
  - CalendarService with sync methods for all providers
  - SchedulingModule with automatic scheduling engine
  - Finds available slots respecting working hours
  - Groups tasks by context, respects priority and due dates

- Interactive Calendar Week View:
  - FullCalendar with timeGridWeek view
  - Drag-and-drop task rescheduling
  - Tasks auto-lock when manually moved
  - Color-coded by context
  - Regenerate Schedule button

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

packages/frontend/src/lib/api.ts

@@ -97,3 +97,42 @@ export const userApi = {
   getPreferences: () => api.get('/users/preferences'),
   updatePreferences: (data: Record<string, unknown>) => api.patch('/users/preferences', data),
 };
+
+// Calendar API
+export const calendarApi = {
+  getConnections: () => api.get('/connections/calendar'),
+  createConnection: (data: {
+    provider: string;
+    calendarUrl?: string;
+    credentials?: {
+      username?: string;
+      password?: string;
+      accessToken?: string;
+      refreshToken?: string;
+    };
+  }) => api.post('/connections/calendar', data),
+  deleteConnection: (id: string) => api.delete(`/connections/calendar/${id}`),
+  syncConnection: (id: string) => api.post(`/connections/calendar/${id}/sync`),
+  getEvents: (start: string, end: string) =>
+    api.get('/calendar/events', { params: { start, end } }),
+};
+
+// Schedule API
+export const scheduleApi = {
+  regenerate: () => api.post('/schedule/regenerate'),
+  clear: () => api.delete('/schedule/clear'),
+};
+
+// ConnectWise API
+export const connectWiseApi = {
+  getConnections: () => api.get('/connections/connectwise'),
+  createConnection: (data: {
+    companyId: string;
+    publicKey: string;
+    privateKey: string;
+    apiUrl: string;
+    memberId: string;
+  }) => api.post('/connections/connectwise', data),
+  deleteConnection: (id: string) => api.delete(`/connections/connectwise/${id}`),
+  syncConnection: (id: string) => api.post(`/connections/connectwise/${id}/sync`),
+};