React Native Expo AuthSession; Google Authentication - react-native

Question

I’m trying to setup the Google authentication using AuthSession in Expo documentation (without Firebase)
https://docs.expo.dev/guides/authentication/#google
The first problem is, that the slack example doesn’t work: on the devices and simulators nothing happen after pushing the button, and in web mode it returns an error
Error 401: invalid_client
The OAuth client was not found.
What I’ve done using steps in documentation:
I’m not sure if it’s necessary, but I’ve installed yarn add expo-application
I’ve registered in Credentials page (Google Cloud Platform)
Logged in using expo login, in the terminal where I was starting expo start
Created a new Google Client ID that will be used with expoClientId
(Image) New Google Client ID setting image
( I'm not allowed to input images now )
(Don’t know if it’s necessary) I’ve created a project in https://expo.dev/ and then published the project using dashboard of expo start
(Image) Setting for "publish" in expo start dashboard
Where:
“expo”: {
“name”: “rn-my-project”,
“slug”: “rn-my-project”,
“version”: “1.0.0”,
“orientation”: “portrait”,
…
}
Using the code in the example, provided in documentation for Google, I receive null as response.
As I understand, this should be enough to test the Google Authentication using AuthSession in Expo Go app. I also made iosClientId, androidClientId and webClientId, but I’m not sure if I made everything correct.
Will be glad for any help, because I couldn’t find any person with the problem as mine.
Yours sincerely.
P.S. I've successfully set up logInAsync for Google using this documentation, but it's written, that it is deprecated.