You just mentioned 2 different Google accounts: if your devices are connected to Google accounts they are already getting a lot of information from you that way, and Google knows that those 2 accounts are related.

Simple games don’t need internet access. Can’t you block network connection for that app?

A better option even is getting something like what BurnedOliveTree@lemmy.world suggested, or this other one https://f-droid.org/packages/org.moire.opensudoku/ or this other one https://f-droid.org/packages/org.secuso.privacyfriendlysudoku/