fix(ui): stabilize task loading and live feeds (#13095)

Coordinate initial conversation reveal, preserve message identity and reading anchors during live updates, and bound transcript reads with recoverable retries. Cover desktop/mobile navigation and rich task loading with actual-route browser tests.

Verified all Linux CI gates, 5,575 local UI tests, eight layout browser scenarios, and recorded native Codex walkthroughs. Greptile: 5/5; all review findings resolved.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

ui/src/api/heartbeats.ts

@@ -7,7 +7,7 @@ import type {
   ProviderTraceMetadata,
 } from "@paperclipai/shared";
 import { tenantSessionRecovery } from "@/lib/tenant-session-recovery";
-import { api } from "./client";
+import { api, type RequestOptions } from "./client";
 
 export interface RunLivenessFields {
   livenessState: HeartbeatRun["livenessState"];
@@ -128,11 +128,12 @@ export const heartbeatsApi = {
     );
   },
   get: (runId: string) => api.get<HeartbeatRun>(`/heartbeat-runs/${runId}`),
-  events: (runId: string, afterSeq = 0, limit = 200) =>
+  events: (runId: string, afterSeq = 0, limit = 200, options?: RequestOptions) =>
     api.get<HeartbeatRunEvent[]>(
       `/heartbeat-runs/${runId}/events?afterSeq=${encodeURIComponent(String(afterSeq))}&limit=${encodeURIComponent(String(limit))}`,
+      options,
     ),
-  log: (runId: string, offset = 0, limitBytes = 256000) =>
+  log: (runId: string, offset = 0, limitBytes = 256000, options?: RequestOptions) =>
     api.get<{
       runId: string;
       store: string;
@@ -141,6 +142,7 @@ export const heartbeatsApi = {
       nextOffset?: number;
     }>(
       `/heartbeat-runs/${runId}/log?offset=${encodeURIComponent(String(offset))}&limitBytes=${encodeURIComponent(String(limitBytes))}`,
+      options,
     ),
   workspaceOperations: (runId: string) =>
     api.get<WorkspaceOperation[]>(