The fact that your cycle count more than doubled since February certainly suggests a hard-working battery. As that corresponds to when you started the new game, that could be a clue.
My A16, bought last April for generally light use, today has 100% health at 63 cycles. The iPad 5th it replaced showed 315 cycles at 89% and it ran fine. Your results compared to my older iPad are within what pundits call "the expected range."
I am quite familiar with heat effects on Mac computers but not so much on iPads. I know Macs can clock back the processor in the presence of abnormally high internal heat, but that should help, no hurt, the battery stats. You can certainly try "old standby" heat management measures while gaming:
— remove any folios or cases that cover the back panel.
— The A16 has vent holes in its "short" sides. Make sure those are not blocked by cases, covers, or your hands.
— close all other apps when playing graphics-intense games or multi-player games.
— play with the iPad on its charger if feasible.
Also, keep this in mind: "Health" is inexact and non-linear. Inexact in that it is calculated from an AVERAGE initial capacity for all batteries of the model, not the ACTUAL initial capacity of your battery. We all know what "average" means:

Non-linear in that the rate of health decay a) varies over time, and b) seems faster between 100 and 90% than when under 90%. I have an older Mac whose original 13 year-old battery has shown shifts in "health" of as much as 9 points yet still offers usable runtime between charges.
I offer an observation based on my 25 years in these forums: People reporting the best success and satisfaction with their battery life and performance are those who do not obsess about their batteries.
Cheers!
Allan