test(auth): cover phone on a non-phone factor in updateFactor

packages/supabase_auth/lib/src/auth_admin_mfa_api.dart

@@ -39,8 +39,9 @@ class AuthAdminMFAApi {
   /// Updates the MFA factor identified by [factorId] on the user identified
   /// by [userId].
   ///
-  /// Only the fields that are given are changed. The server ignores [phone]
-  /// on any factor that is not a phone factor.
+  /// Only the fields that are given are changed. The server treats an empty
+  /// string as not given, so a friendly name cannot be cleared, and it
+  /// ignores [phone] on any factor that is not a phone factor.
   Future<AuthMFAAdminUpdateFactorResponse> updateFactor({
     required String userId,
     required String factorId,

packages/supabase_auth/test/src/auth_admin_mfa_api_test.dart

@@ -76,6 +76,18 @@ void main() {
     expect(response.factor.friendlyName, 'VerifiedFactor');
   });
 
+  test('update factor ignores the phone on a totp factor', () async {
+    final response = await client.admin.mfa.updateFactor(
+      userId: userId2,
+      factorId: factorId2,
+      phone: '+15555550100',
+    );
+
+    expect(response.factor.id, factorId2);
+    expect(response.factor.factorType, FactorType.totp);
+    expect(response.factor.friendlyName, 'VerifiedFactor');
+  });
+
   test('delete factor', () async {
     final response = await client.admin.mfa.deleteFactor(
       userId: userId2,