feat(03-06): add deleteEvent, fetchSyncStatus client calls and delete/sync Zustand keys

- deleteEvent(uid): DELETE /api/events/:uid with credentials:include, throws on !ok
- fetchSyncStatus(uid): GET /api/events/sync-status?uid= returning SyncStatus
- Export SyncStatus and SyncStatusValue types
- Zustand: deleteDialogOpen/deleteDialogUid/lastSyncedUid keys + setDeleteDialog/setLastSyncedUid setters

apps/pwa/src/api/client.ts

@@ -189,6 +189,60 @@ export async function updateEvent(
   return res.json() as Promise<CreateEventResponse>
 }
 
+/**
+ * Delete a calendar event.
+ *
+ * DELETEs /api/events/:uid; the API enqueues the delete to the outbox (D-05).
+ * Returns 202 Accepted (async). Throws on any non-ok response.
+ */
+export async function deleteEvent(uid: string): Promise<void> {
+  const res = await fetch(`/api/events/${uid}`, {
+    method: 'DELETE',
+    credentials: 'include',
+  })
+
+  if (!res.ok) {
+    throw new Error(`DELETE /api/events/${uid} failed: ${res.status}`)
+  }
+}
+
+// ── /api/events/sync-status (Plan 03-06) ─────────────────────────────────────
+
+/**
+ * Status values for an outbox write operation.
+ * Mirrors the calendarOutbox.status enum on the server.
+ */
+export type SyncStatusValue = 'pending' | 'done' | 'failed' | 'dead'
+
+/**
+ * Response from GET /api/events/sync-status?uid=
+ * The server returns the current outbox status for the given UID + member.
+ */
+export interface SyncStatus {
+  uid: string
+  status: SyncStatusValue
+  /** Present on failed status — may contain '412' prefix for conflict detection. */
+  error?: string
+}
+
+/**
+ * Poll the sync-status for a specific event UID.
+ *
+ * Used by SyncStateToast to track pending → done | failed | dead transitions.
+ * The server filters by the current member so no cross-member leakage (T-03-19).
+ */
+export async function fetchSyncStatus(uid: string): Promise<SyncStatus> {
+  const res = await fetch(`/api/events/sync-status?uid=${uid}`, {
+    credentials: 'include',
+  })
+
+  if (!res.ok) {
+    throw new Error(`GET /api/events/sync-status failed: ${res.status}`)
+  }
+
+  return res.json() as Promise<SyncStatus>
+}
+
 /**
  * Fetch the authoritative list of writable calendars for the current member.
  *