Need to cool down my 13900kf. What can be done?

I was gifted a pre-built from microcenter back in December 2024.

But unfortunately, it has a 13900kf and when I play a 3d game (example, Apex Legends) on 1080p/60fps, I get (according to hwinfo) average temps of 83-86 and peak of 94 to 100.

 

For a cooler, I have this Lian Li 240mm Galahad II .

 

Going to order some Grizzly PTM but some have suggested getting a new cooler since mine is pretty small for this CPU.

 

At a PC store near me (eg. locally and quickly), I have available:
MSI MAG CORELIQUID A13 360 for $93

MSI MAG CORELIQUID A12 360 for $88

MSI MAG Coreliquid A15 360 for $113

CORSAIR NAUTILUS 360 for $180

Antec Vortex 360 for $135 (without the screen)

Or should I just purchase on amazon the
Arctic Liquid Freezing III Pro for $80

 

The case I have is the O11 mini from Liam Li
.

My MOBO is an MSI z790 edge wifi

 

Any recommendation?

PS: One thing that scares me is the radiator/fan HITTING the pump.

The Lian li one I have is already has the fan/radiator almost touching the pump.