Build-in either a keyboard or the gamepad. I have BT mice, keyboards, gamepads, and other things that already handle how they charge (USB-C).
But it's not a single thing if you're carrying around other parts anyhow, and those appear kind of flimsy. And I already have a general purpose computing device with networking capability that goes in my pocket, a smartphone... so why would I want to put it my pocket if it does less?