Clean up, reimplement native paper, and sign in screen.

app/settings.tsx

@@ -1,9 +1,10 @@
-import { StyleSheet, Text, View } from 'react-native';
-
+import SignOutButton from "@/components-old/sign-out-button/sign-out-button.component";
+import { StyleSheet, Text, View } from "react-native";
 export default function Tab() {
   return (
     <View style={styles.container}>
       <Text>Tab [Home|Settings]</Text>
+      <SignOutButton />
     </View>
   );
 }
@@ -11,7 +12,7 @@ export default function Tab() {
 const styles = StyleSheet.create({
   container: {
     flex: 1,
-    justifyContent: 'center',
-    alignItems: 'center',
+    justifyContent: "center",
+    alignItems: "center",
   },
 });