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/utils/eventFormatters.ts

@@ -6,7 +6,7 @@ import {
   MONTH_TO_GERMAN,
   ExpandedEvent,
 } from "@calchat/shared";
-import { EventRepository } from "../services/interfaces";
+import { EventService } from "../services/EventService";
 import { expandRecurringEvents } from "./recurrenceExpander";
 
 // Private formatting helpers
@@ -107,13 +107,13 @@ function formatMonthText(events: ExpandedEvent[], monthName: string): string {
  * Recurring events are expanded to show all occurrences within the range.
  */
 export async function getWeeksOverview(
-  eventRepo: EventRepository,
+  eventService: EventService,
   userId: string,
   weeks: number,
 ): Promise<string> {
   const now = new Date();
   const endDate = new Date(now.getTime() + weeks * 7 * 24 * 60 * 60 * 1000);
-  const events = await eventRepo.findByUserId(userId);
+  const events = await eventService.getAll(userId);
   const expanded = expandRecurringEvents(events, now, endDate);
   return formatWeeksText(expanded, weeks);
 }
@@ -123,14 +123,14 @@ export async function getWeeksOverview(
  * Recurring events are expanded to show all occurrences within the month.
  */
 export async function getMonthOverview(
-  eventRepo: EventRepository,
+  eventService: EventService,
   userId: string,
   year: number,
   month: number,
 ): Promise<string> {
   const startOfMonth = new Date(year, month, 1);
   const endOfMonth = new Date(year, month + 1, 0, 23, 59, 59);
-  const events = await eventRepo.findByUserId(userId);
+  const events = await eventService.getAll(userId);
   const expanded = expandRecurringEvents(events, startOfMonth, endOfMonth);
   const monthName = MONTH_TO_GERMAN[MONTHS[month]];
   return formatMonthText(expanded, monthName);

apps/server/src/utils/recurrenceExpander.ts

@@ -1,5 +1,5 @@
 import { RRule, rrulestr } from "rrule";
-import { CalendarEvent, ExpandedEvent } from "@calchat/shared";
+import { CalendarEvent, ExpandedEvent, formatDateKey } from "@calchat/shared";
 
 // Convert local time to "fake UTC" for rrule
 // rrule interprets all dates as UTC internally, so we need to trick it
@@ -133,11 +133,3 @@ function formatRRuleDateString(date: Date): string {
   const seconds = String(date.getSeconds()).padStart(2, "0");
   return `${year}${month}${day}T${hours}${minutes}${seconds}`;
 }
-
-// Format date as YYYY-MM-DD for exception date comparison
-function formatDateKey(date: Date): string {
-  const year = date.getFullYear();
-  const month = String(date.getMonth() + 1).padStart(2, "0");
-  const day = String(date.getDate()).padStart(2, "0");
-  return `${year}-${month}-${day}`;
-}