The game is a very CPU heavy game and will push temps up that stock coolers may or may not handle well in some cases. I would advise and upgrade to your CPU cooler to remove this problem, especially if you overclock your cpu in any way. I've found with adequate cooling this game runs fine and the cpu will be okay. You may also be due to clean the cpu cooler to maximise air flow for your cooler or may need to consider an open case to improve cool air availability.
I suggest if your looking to upgrade the cooler these options may work, but fitting it is your homework to finish.
Cooler Master Hyper 212 - Cheaper but effective air cooler well known to work!
https://www.amazon.com/Cooler-Master-RR-212E-20PK-R2-Contact-Renewed/dp/B07JZTZ2RZ/ref=sr_1_4?keywords=Cooler+Master+Hyper+212&qid=1581629673&sr=8-4
CORSAIR HYDRO SERIES H80i v2 - All in one Water cooling unit I use on one computer for 3 years no issues.
https://www.amazon.com/CORSAIR-Radiator-Advanced-Lighting-Software/dp/B019954Y2Q/ref=sr_1_1?crid=1PJ9QIY61VXH6&keywords=corsair+hydro+series+h80i+v2&qid=1581629836&sprefix=Corsair+Hydro+Series+H80%2Caps%2C194&sr=8-1