TUI/Gateway: fix pi streaming + tool routing + model display + msg updating (#8432)

* TUI/Gateway: fix pi streaming + tool routing

* Tests: clarify verbose tool output expectation

* fix: avoid seq gaps for targeted tool events (#8432) (thanks @gumadeiras)

src/tui/tui-command-handlers.test.ts

@@ -29,6 +29,8 @@ describe("tui command handlers", () => {
       abortActive: vi.fn(),
       setActivityStatus,
       formatSessionKey: vi.fn(),
+      applySessionInfoFromPatch: vi.fn(),
+      noteLocalRunId: vi.fn(),
     });
 
     await handleCommand("/context");