All 3 auth methods work & update public profile table as well

components/auth/Auth.tsx

@@ -4,6 +4,7 @@ import { supabase } from '@/lib/supabase';
 import { ThemedView, ThemedText, ThemedTextButton, ThemedTextInput } from '@/components/theme';
 import AppleSignInButton from '@/components/auth/AppleSignIniOS';
 import AzureSignIn from './AzureSignIn';
+import type { updateUser } from '@/constants/Types';
 
 // Tells Supabase Auth to continuously refresh the session automatically if
 // the app is in the foreground. When this is added, you will continue to receive
@@ -20,6 +21,7 @@ if (Platform.OS !== 'web') {
 }
 
 const Auth = () => {
+  const [full_name, setFullName] = useState('');
   const [email, setEmail] = useState('');
   const [password, setPassword] = useState('');
   const [loading, setLoading] = useState(false);
@@ -50,11 +52,26 @@ const Auth = () => {
       data: { session },
       error,
     } = await supabase.auth.signUp({
-      email: email,
-      password: password,
+      email,
+      password,
     });
     if (error) Alert.alert(error.message);
     else if (!session) Alert.alert('Please check your inbox for email verification!');
+    else {
+      const { error: updateProfileError } = await supabase
+        .from('profiles')
+        .upsert({
+          id: session.user.id,
+          full_name,
+          email,
+          provider: 'email',
+          updated_at: new Date(),
+      });
+      if (updateProfileError) {
+        Alert.alert('Error updating profile:', updateProfileError.message);
+        console.error('Error updating profile:', updateProfileError.message);
+      }
+    }
     setLoading(false);
   };
 
@@ -67,6 +84,15 @@ const Auth = () => {
         </ThemedText>
       </ThemedView>
 
+      <ThemedView style={styles.verticallySpaced}>
+        <ThemedTextInput
+          fontSize={24}
+          onChangeText={(text) => setFullName(text)}
+          value={full_name}
+          placeholder='Full Name'
+        />
+      </ThemedView>
+
       <ThemedView style={[styles.verticallySpaced]}>
         <ThemedTextInput
           fontSize={24}