Mighty Party: Doge Rescue

Mighty Party: Doge Rescue is listed here under Puzzle. There is no launcher and no install between you and it. Designed around touch input, and comfortable on a small screen. Its tags here are kids, logic, mobile, rescue.

It is drawn for a tall screen, so it fills a phone held upright rather than a wide monitor. Close the tab and come back later; the game is still one click away.