fix(lint): resolve all eslint errors across monorepo

- Type response bodies in gameController.test.ts to fix no-unsafe-member-access
- Replace async methods with Promise.resolve() in InMemoryGameSessionStore
  and InMemoryLobbyGameStore to satisfy require-await rule
- Add argsIgnorePattern and varsIgnorePattern to eslint config so
  underscore-prefixed params are globally ignored
- Fix no-misused-promises in ws/index.ts, lobbyHandlers, gameHandlers,
  __root.tsx, login.tsx and play.tsx by using void + .catch()
- Fix no-floating-promises on navigate calls in login.tsx
- Move API_URL outside Play component to fix useCallback dependency warning
- Type fetch response bodies in play.tsx to fix no-unsafe-assignment
- Add only-throw-error: off for route files (TanStack Router throw redirect)
- Remove unused WebSocket import from express.d.ts
- Fix unsafe return in connections.ts by typing empty Map constructor
- Exclude scripts/ folder from eslint
- Add targeted override for better-auth auth-client.ts (upstream typing issue)

apps/web/src/routes/__root.tsx

@@ -24,9 +24,13 @@ const RootLayout = () => {
           {session ? (
             <button
               className="text-sm text-gray-600 hover:text-gray-900"
-              onClick={async () => {
-                await signOut();
-                navigate({ to: "/" });
+              onClick={() => {
+                void (async () => {
+                  await signOut();
+                  void navigate({ to: "/" });
+                })().catch((err) => {
+                  console.error("Sign out error:", err);
+                });
               }}
             >
               Sign out ({session.user.name})