I'll give you an actual answer.
Your cat likes the heat coming out of the PC. So get one of these and place it at the top of your case.
https://www.amazon.com/gp/product/B07NQMC2RB/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1
Your cat will still get the heat coming out, but won't block the vents.
Monitor Stand Riser - 3 Height Adjustable Monitor Stand for Laptop, Computer, iMac, PC, Printer, Desktop Ergonomic Metal Monitor Riser Stand with Mesh Platform for Airflow 2 Pack by HUANUO https://www.amazon.com/dp/B07NQMC2RB/ref=cm_sw_r_cp_api_glc_fabc_EJb6FbJCE674C?_encoding=UTF8&psc=1
I’ve got my 25lb rig on two of these
Monitor Stand Riser - 3 Height Adjustable Monitor Stand for Laptop, Computer, iMac, PC, Printer, Desktop Ergonomic Metal Monitor Riser Stand with Mesh Platform for Airflow 2 Pack by HUANUO https://www.amazon.com/dp/B07NQMC2RB/ref=cm_sw_r_cp_api_i_T6YlFbJDBP72H
I have kept my workstation on the carpet over the last 10 years and I have not had any issues with that. Just be aware of the fact that it will not be possible to install bottom intake fans (if required), without raising the case using some means.
Recently I bought this 2 pack stand and lined them up along the smaller side, and placed my Cooler Master HAF-X on it to allow intake airflow from the bottom of the case. There are holes underneath to aid with airflow.
My case weighs well over 50 lbs given the large number of hard drives and other components within, and it is very stable and holding up without any issues so far. Here are the pics showing this.
Get one of these, and place it on top of your case.
https://www.amazon.com/gp/product/B07NQMC2RB/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1
You'll then have ample exhaust for your PC, and your kitty can still enjoy the warm air.
I recently got this 2 pack stand and lined them up along the smaller side, and placed my Cooler Master HAF-X on it to allow intake airflow from the bottom of the case. There are holes underneath to aid with airflow.
My case weighs well over 50 lbs given the large number of hard drives and other components within, and it is very stable and holding up without any issues so far.
Here are the pics showing this.