Lenovo Y700 Gen4 cooling for PC gaming emulation

Hello.
Bought the tablet few months ago for High End emulations, primary PS3 and SWITCH and it has been working well since.

I have moved to PC Gaming emulation few weeks ago, using Gamehub Lite and have been concerned on battery temps in some AAA Games reaching 45degC.

I am not comfortable to maintain gaming sessions with such temps so I bought the shown cooler but also a non round shape cooper sheet to spread the heat dissipation further

Does that make sense? or should I just use the round plate that came with the cooler?

I can not find picture or schematics of the Y700 Gen4 showing where and how large is the battery, would the positioning shown on the sketch with the 6 shaped copper sheet a better Option? something else?

thanks so much

https://preview.redd.it/jqu9lly95fjg1.jpg?width=4032&format=pjpg&auto=webp&s=f4a066e9b9ab6450ceab488330a4ef6ab458de16