My camera is getting hot while recording and sometimes even shuts down although it has sufficient battery power.

Depending on your filming environment and camera, it may be good to have a 10 minute cooldown period for the camera, once it substantially heats up.

Specifically for GoPro hero 7 or GoPro Hero 8, it is best to remove the internal battery from the camera when using an external power source.

This will help the camera to heat up less.