feat(auth): implement email/password login form

apps/web/src/lib/utils.ts

@@ -0,0 +1,13 @@
+import { clsx, type ClassValue } from "clsx"
+import { twMerge } from "tailwind-merge"
+
+/**
+ * Utility function to merge Tailwind CSS classes conditionally.
+ * Combines clsx for conditional logic and tailwind-merge to handle conflicts.
+ * 
+ * @param inputs - List of class values (strings, objects, arrays)
+ * @returns Merged class string
+ */
+export function cn(...inputs: ClassValue[]) {
+  return twMerge(clsx(inputs))
+}