Recover private key from Android backup

I have moved all my Apps from my old Android phone to a new one. Unfortunately, all Apps worked properly except Keybase.

Keybase App is not logged in, and I don't have any other devices or paper keys. (Why doesn't Keybase tell users to backup their paper key like most Bitcoin wallets?)

I did a system reset on my old phone.

However,

• I have a full backup of all my Apps, including /data/data
• I have my Keybase passphrase
• I have access to the hardware of my old Android device
• I can remember the screen lock password of my old Android device

Is it possible to recover my Keybase private key cryptographically?