I had this error also - confusing as I changed my Google password last evening.
This what worked for me:
1. Opened another Play saved game - here EA SimCity BildIT - asked me to confirm my Play account and worked onwards without error
2. Opened SWGOH without problems - SWGOH asked for new Play permissions
This worked for me:
Go to your Android settings -> App -> Search for "Google Play Games".
On the top right (three dots on my Screen) -> Deinstall all updates.
Open Play Store -> Search for Google Play Games and Update this app.
-> Start Star Wars Galaxy of Heroes and have fun again.
Replies
This what worked for me:
1. Opened another Play saved game - here EA SimCity BildIT - asked me to confirm my Play account and worked onwards without error
2. Opened SWGOH without problems - SWGOH asked for new Play permissions
https://drive.google.com/file/d/0B9dIKt6nChn-aFVNeFVlSHllU00/view?usp=drivesdk
Go to https://myaccount.google.com/security#connectedapps and delete Star Wars Capital and then try again
Go to your Android settings -> App -> Search for "Google Play Games".
On the top right (three dots on my Screen) -> Deinstall all updates.
Open Play Store -> Search for Google Play Games and Update this app.
-> Start Star Wars Galaxy of Heroes and have fun again.