refactor: migrate from @hey-api/openapi-ts to openapi-react-query

- Replace @hey-api/openapi-ts with openapi-typescript and openapi-react-query
- Generate TypeScript types from OpenAPI spec
- Set up React Query infrastructure with QueryClientProvider
- Migrate all API hooks to use React Query patterns
- Maintain backward compatibility for existing components
- Remove old API infrastructure and dependencies

www/app/providers.tsx

@@ -6,16 +6,23 @@ import system from "./styles/theme";
 import { WherebyProvider } from "@whereby.com/browser-sdk/react";
 import { Toaster } from "./components/ui/toaster";
 import { NuqsAdapter } from "nuqs/adapters/next/app";
+import { QueryClientProvider } from "@tanstack/react-query";
+import { queryClient } from "./lib/queryClient";
+import { ApiAuthProvider } from "./lib/ApiAuthProvider";
 
 export function Providers({ children }: { children: React.ReactNode }) {
   return (
     <NuqsAdapter>
-      <ChakraProvider value={system}>
-        <WherebyProvider>
-          {children}
-          <Toaster />
-        </WherebyProvider>
-      </ChakraProvider>
+      <QueryClientProvider client={queryClient}>
+        <ApiAuthProvider>
+          <ChakraProvider value={system}>
+            <WherebyProvider>
+              {children}
+              <Toaster />
+            </WherebyProvider>
+          </ChakraProvider>
+        </ApiAuthProvider>
+      </QueryClientProvider>
     </NuqsAdapter>
   );
 }