feat: add CalDAV synchronization with automatic sync

- Add CaldavService with tsdav/ical.js for CalDAV server communication
- Add CaldavController, CaldavRepository, and caldav routes
- Add client-side CaldavConfigService with sync(), config CRUD
- Add CalDAV settings UI with config load/save in settings screen
- Sync on login, auto-login (AuthGuard), periodic timer (calendar), and sync button
- Push single events to CalDAV on server-side create/update/delete
- Push all events to CalDAV after chat event confirmation
- Refactor ChatService to use EventService instead of direct EventRepository
- Rename CalDav/calDav to Caldav/caldav for consistent naming
- Add Radicale Docker setup for local CalDAV testing
- Update PlantUML diagrams and CLAUDE.md with CalDAV architecture

apps/server/src/repositories/mongo/MongoCaldavRepository.ts

@@ -0,0 +1,31 @@
+import { CaldavConfig } from "@calchat/shared";
+import { Logged } from "../../logging/Logged";
+import { CaldavRepository } from "../../services/interfaces/CaldavRepository";
+import { CaldavConfigModel } from "./models/CaldavConfigModel";
+
+@Logged("MongoCaldavRepository")
+export class MongoCaldavRepository implements CaldavRepository {
+  async findByUserId(userId: string): Promise<CaldavConfig | null> {
+    const config = await CaldavConfigModel.findOne({ userId });
+    if (!config) return null;
+    return config.toJSON() as unknown as CaldavConfig;
+  }
+
+  async createOrUpdate(config: CaldavConfig): Promise<CaldavConfig> {
+    const caldavConfig = await CaldavConfigModel.findOneAndUpdate(
+      { userId: config.userId },
+      config,
+      {
+        upsert: true,
+        new: true,
+      },
+    );
+    // NOTE: Casting required because Mongoose's toJSON() type doesn't reflect our virtual 'id' field
+    return caldavConfig.toJSON() as unknown as CaldavConfig;
+  }
+
+  async deleteByUserId(userId: string): Promise<boolean> {
+    const result = await CaldavConfigModel.findOneAndDelete({userId});
+    return result !== null;
+  }
+}

apps/server/src/repositories/mongo/MongoEventRepository.ts

@@ -28,6 +28,12 @@ export class MongoEventRepository implements EventRepository {
     return events.map((e) => e.toJSON() as unknown as CalendarEvent);
   }
 
+  async findByCaldavUUID(userId: string, caldavUUID: string): Promise<CalendarEvent | null> {
+    const event = await EventModel.findOne({ userId, caldavUUID });
+    if (!event) return null;
+    return event.toJSON() as unknown as CalendarEvent;
+  }
+
   async searchByTitle(userId: string, query: string): Promise<CalendarEvent[]> {
     const events = await EventModel.find({
       userId,

apps/server/src/repositories/mongo/models/CaldavConfigModel.ts

@@ -0,0 +1,22 @@
+import { CaldavConfig } from "@calchat/shared";
+import mongoose, { Document, Schema } from "mongoose";
+
+export interface CaldavConfigDocument extends CaldavConfig, Document {
+  toJSON(): CaldavConfig;
+}
+
+const CaldavConfigSchema = new Schema<CaldavConfigDocument>(
+  {
+    userId: { type: String, required: true, index: true },
+    serverUrl: { type: String, required: true },
+    username: { type: String, required: true },
+    password: { type: String, required: true },
+    syncIntervalSeconds: { type: Number },
+  },
+  { _id: false },
+);
+
+export const CaldavConfigModel = mongoose.model<CaldavConfigDocument>(
+  "CaldavConfig",
+  CaldavConfigSchema,
+);

apps/server/src/repositories/mongo/models/EventModel.ts

@@ -21,6 +21,12 @@ const EventSchema = new Schema<
       required: true,
       index: true,
     },
+    caldavUUID: {
+      type: String,
+    },
+    etag: {
+      type: String,
+    },
     title: {
       type: String,
       required: true,