Fix multiple modal issue on React Native 0.76

[louix]

Summary:

Fixes: #48611

Which is caused by the changes from: f1031be (included in 0.76).
The commit was backed out, but didn't land on 0.76: 080c82e, so this PR applies it there too.

The current Expo version (52) is still using 0.76, so I would imagine it's worth applying this and closing the issue.

Changelog:

[IOS] [FIXED] - Multiple modals on old architecture

Test Plan:

import { Button, Modal, Text, View } from "react-native";
import { useState } from "react";

export const App = (): JSX.Element => {
  const [aVisible, setAVisible] = useState(true);
  const [bVisible, setBVisible] = useState(false);

  return (
    <View>
      <Modal visible={aVisible} animationType="slide">
        <View style={{ flex: 1, margin: 100 }}>
          <Text>A</Text>
          <Button
            title="Close"
            onPress={() => {
              setAVisible(false);
              setBVisible(true);
            }}
          />
        </View>
      </Modal>
      <Modal visible={bVisible} animationType="slide">
        <View style={{ flex: 1, margin: 100 }}>
          <Text>B</Text>
          <Button
            title="Close"
            onPress={() => {
              setBVisible(false);
              setAVisible(true);
            }}
          />
        </View>
      </Modal>
    </View>
  );
};

export default App;

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This PR is stale because it has been open for 180 days with no activity. It will be closed in 7 days unless you comment on it or remove the "Stale" label.

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This PR is stale because it has been open 180 days with no activity. Remove stale label or comment or this will be closed in 7 days.