Your Google account is having issues, so to continue using Google services such as Play Store, Youtube... you need to delete the problematic account and then sign in with a new one.
To remove Google account from Asus Zenfone 3 ZE520KL, follow these steps:
Step 1: Go to 'Settings' and select 'Accounts'.

Select 'Accounts'.
Step 2: Choose 'Google'.

Select 'Google'.
Step 3: Choose '...'.

Select '...'.
Step 4: Choose 'Remove account'.

Select 'Remove account'.
Step 5: Choose 'OK'.

Select 'OK'.
Wishing you all success.
