AES

[nick8606]

The key size is known.
Brute force probably won't work. But there is a file with probable keys (HEX).
Does HashCat contain a command interface for brute-forcing AES passwords from a file and the ability to analyze the decrypted version of the data by specific bytes?

No.

As I understand you have file containing all possible keys. If so then full number of attempts is not too large. You can create small script or program on any language you prefer, and use CPU. It will be enough. GPU speed isn't necessary.