yarn add expo-screen-recorder

import * as ScreenRecorder from "expo-screen-recorder"

// anywhere in your code
const micEnabled = false
await ScreenRecorder.startRecording(micEnabled) // this includes the permission request, and no it can't be separated unfortunately, ReplayKit doesn't let you (as far as I know)
                                      // if you want to separate it, create a function that starts and stops screen recording right after
                                      // also, once permissions accepted, they wont be asked for again ONLY for that session, or if it's been longer than 8minutes lol
const outputUrl = await ScreenRecorder.stopRecording() // you can also provide a file name: stopRecording(fileName)