Add SuperTokens authentication integration

- Install supertokens-auth-react, supertokens-node, supertokens-web-js
- Create frontend and backend SuperTokens configuration
- Add API route handler for auth endpoints
- Add SuperTokensProvider wrapper in root layout
- Create new auth component with SuperTokens UI
- Configure Google and GitHub OAuth providers
- Ready for SuperTokens core deployment

Co-authored-by: Cursor <cursoragent@cursor.com>

lib/supertokens/frontendConfig.ts

@@ -0,0 +1,30 @@
+import ThirdPartyEmailPassword, {
+  Google,
+  Github,
+} from "supertokens-auth-react/recipe/thirdpartyemailpassword";
+import Session from "supertokens-auth-react/recipe/session";
+
+export const frontendConfig = () => {
+  const appUrl = process.env.NEXT_PUBLIC_APP_URL || "https://app.vibnai.com";
+  
+  return {
+    appInfo: {
+      appName: "Vib'n",
+      apiDomain: appUrl,
+      websiteDomain: appUrl,
+      apiBasePath: "/api/auth",
+      websiteBasePath: "/auth",
+    },
+    recipeList: [
+      ThirdPartyEmailPassword.init({
+        signInAndUpFeature: {
+          providers: [
+            Google.init(),
+            Github.init(),
+          ],
+        },
+      }),
+      Session.init(),
+    ],
+  };
+};