test(better auth): implementation start of better auth

frontend/src/lib/authClient.ts

@@ -0,0 +1,11 @@
+import { createAuthClient } from "better-auth/client";
+import { usernameClient } from "better-auth/client/plugins";
+export const authClient = createAuthClient({
+    baseURL: `${window.location.origin}/lst/api/auth`, // 👈 This is fine
+    callbacks: {
+        onUpdate: (session: any) => console.log("Session updated", session),
+        onSignIn: (session: any) => console.log("Signed in!", session),
+        onSignOut: () => console.log("Signed out!"),
+    },
+    plugins: [usernameClient()],
+});

frontend/src/lib/utils.ts

@@ -1,6 +1,6 @@
-import { clsx, type ClassValue } from "clsx"
-import { twMerge } from "tailwind-merge"
+import { clsx, type ClassValue } from "clsx";
+import { twMerge } from "tailwind-merge";
 
 export function cn(...inputs: ClassValue[]) {
-  return twMerge(clsx(inputs))
+    return twMerge(clsx(inputs));
 }