To answer the often asked question.
The mini/frig concept has two problems; refrigerators don’t have the capacity to handle most gaming computers. The other is the compressor is not designed for constant operation.
1 Watt = 0.0009485 btu(s)
Taking 350 watts out of the air to represent a loaded computer.
350 x 0.0009485 = .331975 btu(s) x 3600 = 1195.11 btu(h)
After spending some time searching for cooling capacity of refrigerators in relation to btu I located this, Frigidaire 5304442311 Refrigerator Compressor Kit, 750 btu, (Assumed the 750 btu to be btu(h), this is a replacement unit for a full size frig. Looking for mini frig info I saw one reference to 100–150 btu.
If the total system load being cooled is 220 watts, (750 btu) or less, preferably less, you might have a chance, depending on the quality of the compressor and the box is idling most of the time.
Refrigerators are designed for keeping cold beer cold.
This is from 2006.