Neither method involves a native "Play Store" download. You are remote-controlling a PC.
Before you rush to download a “Team Fortress 2 Mobile” APK from an unknown source, understand the risks: team fortress 2 mobile play store new
Install Steam Link on your phone, pair it with your running PC, and ensure both devices are on a fast Wi-Fi network. Neither method involves a native "Play Store" download
Valve has not announced plans for a native mobile port. High-profile fan efforts, such as the Team Fortress: Source 2 pair it with your running PC