admin: reclaim the desktop header, move pause and log out to the sidebar

the header row survives only on narrow screens; on desktop its lone occupant, log out, joins pause in the sidebar footer, both full width. pause leaves the query detail page's related actions, where a global control had no business, and its hand-rolled duration dropdown becomes a react-aria menu with real keyboard navigation, dismissal and positioning.

admin/src/shell/AppShell.test.tsx

@@ -214,12 +214,45 @@ test("mount probe reveals the logout button and a failed logout surfaces inline"
 
 	renderShell();
 
-	fireEvent.click(await screen.findByRole("button", { name: "Log out" }));
+	// Both renderings are mounted; the viewport paints the sidebar one on WIDE
+	// and the header one below it.
+	await waitFor(() => expect(screen.getAllByRole("button", { name: "Log out" })).toHaveLength(2));
+	const aside = document.querySelector("aside") as HTMLElement;
+	fireEvent.click(within(aside).getByRole("button", { name: "Log out" }));
 
-	await screen.findByText("Rate limited. Try again in 7s.");
+	await within(aside).findByText("Rate limited. Try again in 7s.");
 	expect(screen.getByRole("heading", { name: "Overview" })).toBeTruthy();
 });
 
+test("Log out sits in the sidebar on wide, and only in the header below it", async () => {
+	stubFetch((url) =>
+		url === "/api/auth/login"
+			? new Response(JSON.stringify({ error: "password required" }), {
+					status: 401,
+					headers: { "content-type": "application/json" },
+				})
+			: null,
+	);
+	renderShell();
+	await screen.findByRole("heading", { name: "Overview" });
+
+	const aside = document.querySelector("aside") as HTMLElement;
+	const header = document.querySelector("header") as HTMLElement;
+	await waitFor(() => expect(within(aside).getByRole("button", { name: "Log out" })).toBeTruthy());
+	expect(within(header).getByRole("button", { name: "Log out" })).toBeTruthy();
+	// The header is the narrow rendering now: the Menu button is its only nav.
+	expect(within(header).getByRole("button", { name: "Menu" })).toBeTruthy();
+
+	// In the sidebar the control precedes the version label rather than crowding it.
+	const version = within(aside).getByText(/^nxdns v/);
+	const logout = within(aside).getByRole("button", { name: "Log out" });
+	expect(logout.compareDocumentPosition(version) & Node.DOCUMENT_POSITION_FOLLOWING).toBeTruthy();
+	// The drawer keeps no third copy: the header already carries the narrow one.
+	fireEvent.click(within(header).getByRole("button", { name: "Menu" }));
+	const drawer = document.getElementById("mobile-nav") as HTMLElement;
+	expect(within(drawer).queryByRole("button", { name: "Log out" })).toBeNull();
+});
+
 test("the header carries no protection display at all any more", async () => {
 	renderShell();
 	await screen.findByRole("heading", { name: "Overview" });

admin/src/shell/AppShell.tsx

@@ -110,6 +110,17 @@ const styles = stylex.create({
 		alignItems: "center",
 		gap: "0.5rem",
 	},
+	/**
+	 * In a 14rem column the button and its error stack, so the button spans the
+	 * sidebar and matches the Pause trigger below it.
+	 */
+	sidebarLogout: {
+		flexDirection: "column",
+		alignItems: "stretch",
+		gap: "0.25rem",
+		paddingInline: "1rem",
+		paddingTop: "0.75rem",
+	},
 	shell: {
 		minHeight: "100dvh",
 		height: { default: null, [WIDE]: "100dvh" },
@@ -147,8 +158,9 @@ const styles = stylex.create({
 		minWidth: { default: null, [WIDE]: 0 },
 		flexDirection: "column",
 	},
+	/** Narrow only: on WIDE the sidebar carries everything this row held. */
 	header: {
-		display: "flex",
+		display: { default: "flex", [WIDE]: "none" },
 		alignItems: "center",
 		gap: "0.75rem",
 		borderBottomWidth: 1,
@@ -284,13 +296,13 @@ function VersionFooter() {
 	);
 }
 
-function LogoutButton() {
+function LogoutButton({ style }: { style?: stylex.StyleXStyles }) {
 	const { authRequired, logout } = useAuth();
 	const navigate = useNavigate();
 	const [error, setError] = useState<unknown>(null);
 	if (authRequired !== true) return null;
 	return (
-		<div {...stylex.props(styles.logoutRow)}>
+		<div {...stylex.props(styles.logoutRow, style)}>
 			<button
 				type="button"
 				onClick={() => {
@@ -318,6 +330,7 @@ export default function AppShell() {
 				<nav aria-label="Main" {...stylex.props(styles.sidebarNav)}>
 					<NavLinks />
 				</nav>
+				<LogoutButton style={styles.sidebarLogout} />
 				<SidebarFooter />
 			</aside>
 			<div {...stylex.props(styles.column)}>