feat(status-ui): add compact session status strip

ui/src/App.test.tsx

@@ -92,6 +92,13 @@ describe("App command progress and errors", () => {
 		});
 	});
 
+	it("shows explicit Pi readiness in the compact session status", () => {
+		render(<App />);
+		const status = screen.getByRole("status", { name: "Session status" });
+		expect(status).toHaveTextContent("Pi ready");
+		expect(status).toHaveTextContent("Ready for your next prompt");
+	});
+
 	it("shows restart progress until the replacement snapshot is restored", async () => {
 		const user = userEvent.setup();
 		const restart = deferred<unknown>();
@@ -211,9 +218,13 @@ describe("App command progress and errors", () => {
 		expect(screen.getByLabelText("Prompt")).toBeDisabled();
 		expect(screen.getByRole("button", { name: "Sending…" })).toBeDisabled();
 		expect(screen.getByText("Sending your prompt…")).toBeInTheDocument();
-		expect(screen.getByText("Working", { selector: ".state-pill" })).toHaveClass(
-			"working",
-		);
+		const sessionStatus = screen.getByRole("status", { name: "Session status" });
+		expect(sessionStatus).toHaveTextContent("Working");
+		expect(sessionStatus).toHaveTextContent("Sending prompt to Pi…");
+		expect(sessionStatus).toHaveTextContent("Bridge");
+		expect(sessionStatus).toHaveTextContent("ready");
+		expect(sessionStatus).toHaveClass("working");
+		expect(rendered.container.querySelector(".status-row")).toBeNull();
 
 		await act(async () => {
 			submissionA.resolve({ delivery: "prompt" });