feat(auth): align login and bootstrap with new user schema

tests/unit/schemas/auth.schema.test.ts

@@ -0,0 +1,17 @@
+import { describe, expect, it } from "vitest"
+
+import { signInSchema } from "@/schemas/auth.schema"
+
+describe("signInSchema", () => {
+  it("normalizes login emails before authentication", () => {
+    const result = signInSchema.safeParse({
+      email: "  Admin@Example.Test  ",
+      password: "secret-password",
+    })
+
+    expect(result.success).toBe(true)
+    if (result.success) {
+      expect(result.data.email).toBe("admin@example.test")
+    }
+  })
+})