ChokePoint is a game by Rubix Code. This page says what it does with your data, which is: as little as possible.
Your progress (stars, best runs, achievements, which tutorials you have seen, your loadout choices and settings) is stored on your device. Resetting progress in the game's settings erases it. Uninstalling the game erases it.
If you are signed in to Google Play Games, the same progress is also saved to your own Play Games account, so that a new phone can pick up where the last one left off. It is stored by Google as a saved game under your account, governed by Google's terms and privacy policy, and you can delete it from Google Play Games at any time. Signing in is optional and the game works fully without it.
Nothing about you. The game has no account of its own, no analytics, no crash reporting, no advertising, and no in-app purchases. It has no server.
If you sign in to Google Play Games, two things go to Google Play Games Services: your achievement unlocks, and the saved game described above. Nothing else leaves the game on its own.
When you share a run, the game hands your phone's share sheet a line of text and a link. The link contains the recorded run (the stage, the turrets you brought and your taps) and nothing else — no name, no identifier, nothing about your device. Who receives it is your choice; the game sends it nowhere itself.
In the game, open Settings and choose Reset progress. It asks you to type a word to confirm, because it cannot be undone. It erases your stars, your best runs, your recorded runs, the tutorials you have seen and your settings on this device — and, if you are signed in to Google Play Games, it also deletes the saved game held in your Play Games account, so that nothing comes back the next time you open the game.
It does not touch your Play Games achievements. Those are earned, they belong to your Google profile rather than to this game, and they are yours to manage in the Google Play Games app.
You can also delete the data from Google's side at any time without involving the game: in the Google Play Games app, under Settings, you can delete the Play Games data for an individual game or for your whole account. Uninstalling ChokePoint removes everything it has stored on the device.
There is nothing else to delete, because there is nowhere else for it to be: the game has no account of its own and no server, so we hold no copy of anything.
The game collects no personal data from anyone, children included.
Rubix Code, via the ChokePoint page on GitHub.