feat(telegram): display thread ID for DM topics in Sessions tab

- Add ThreadLabel for DM threads (format: 'Thread: N')
- Add unit tests for ThreadLabel in DM threads
- Fix UI: read URL session param before syncTabWithLocation overwrites it

src/telegram/bot-message-context.dm-threads.test.ts

@@ -56,6 +56,33 @@ describe("buildTelegramMessageContext dm thread sessions", () => {
     expect(ctx?.ctxPayload?.SessionKey).toBe("agent:main:main:thread:42");
   });
 
+  it("sets ThreadLabel for dm topics for display in Sessions tab", async () => {
+    const ctx = await buildContext({
+      message_id: 1,
+      chat: { id: 1234, type: "private" },
+      date: 1700000000,
+      text: "hello",
+      message_thread_id: 42,
+      from: { id: 42, first_name: "Alice" },
+    });
+
+    expect(ctx).not.toBeNull();
+    expect(ctx?.ctxPayload?.ThreadLabel).toBe("Thread: 42");
+  });
+
+  it("does not set ThreadLabel for dm without thread id", async () => {
+    const ctx = await buildContext({
+      message_id: 1,
+      chat: { id: 1234, type: "private" },
+      date: 1700000000,
+      text: "hello",
+      from: { id: 42, first_name: "Alice" },
+    });
+
+    expect(ctx).not.toBeNull();
+    expect(ctx?.ctxPayload?.ThreadLabel).toBeUndefined();
+  });
+
   it("keeps legacy dm session key when no thread id", async () => {
     const ctx = await buildContext({
       message_id: 2,

src/telegram/bot-message-context.ts

@@ -606,6 +606,8 @@ export const buildTelegramMessageContext = async ({
     // For groups: use resolvedThreadId (forum topics only); for DMs: use raw messageThreadId
     MessageThreadId: isGroup ? resolvedThreadId : messageThreadId,
     IsForum: isForum,
+    // DM thread label for display in Sessions tab (e.g., "Sender Name (Thread: 42)")
+    ThreadLabel: !isGroup && messageThreadId != null ? `Thread: ${messageThreadId}` : undefined,
     // Originating channel for reply routing.
     OriginatingChannel: "telegram" as const,
     OriginatingTo: `telegram:${chatId}`,

ui/src/ui/app-lifecycle.ts

@@ -35,6 +35,8 @@ type LifecycleHost = {
 
 export function handleConnected(host: LifecycleHost) {
   host.basePath = inferBasePath();
+  // Apply URL settings FIRST so sessionKey is read before syncTabWithLocation
+  // overwrites it with the localStorage value
   applySettingsFromUrl(
     host as unknown as Parameters<typeof applySettingsFromUrl>[0],
   );