It looks like you have an OEM cooler and OEM motherboard which usually don't support coolers that aren't from the prebuilt manufacturer. Check to see if you have two brackets installed. They should be plastic pieces that your current cooler is hooked onto. In a good custom built PC in the BIOS your temps should be 30 to 40 degrees C. It is unfortunate that you can't install more exhaust fans. I have seen this case in YouTube videos where a specific prebuilt is reviewed and it isn't terrible while it also isn't the best for airflow.
Provided it was me in this situation, I would change the fan curve on the CPU cooler in bios to 30% at 30c and at 70c it would be 100% with some fine tuning in between. I would also change all case fans to 100% to maximize airflow as it looks to be a bit restricted. I would also look into running a custom fan curve on the GPU depending on the model and its' temperature in that case.
It may run loud but everything should be within the temperature limits and prevent thermal throttling.
60c at idle is too hot. Most people with comparable hardware see temps like that when running tasks like gaming and actual work loads.
Good luck friend.
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