The phrase "Team Fortress 2 mobile Play Store extra quality" is a paradox. The Play Store does not host a high-quality TF2 port. But by using GeForce NOW from the Play Store, you get infinite quality. Or, by side-stepping the Play Store entirely with Winlator or the Source APK, you achieve the holy grail: real TF2 in your pocket.

: This cloud gaming service allows you to play your Steam library, including TF2, directly on mobile devices without needing a powerful PC.