fix(auth): Correct API paths and resolve build/type errors in tests and config

frontend/src/lib/validations/auth.ts

@@ -0,0 +1,18 @@
+import { z } from "zod"
+
+export const loginSchema = z.object({
+  email: z.email("Invalid email address"),
+  password: z.string().min(6, "Password must be at least 6 characters"),
+})
+
+export const registerSchema = z.object({
+  email: z.email("Invalid email address"),
+  password: z.string().min(6, "Password must be at least 6 characters"),
+  confirmPassword: z.string().min(6, "Password must be at least 6 characters"),
+}).refine((data) => data.password === data.confirmPassword, {
+  message: "Passwords do not match",
+  path: ["confirmPassword"],
+})
+
+export type LoginInput = z.infer<typeof loginSchema>
+export type RegisterInput = z.infer<typeof registerSchema>