With my luck, it would be one of those 67,000 other reasons
Why not forget about what everybody comments about and just read the service manual to get to the problem quickly. This ain't rocket science, but a finite box with specific failure points. Determining which problem you have is a matter of deduction and rather quick tests. If you don't have the GE service guide, I can find one for you on these fridges.
Ruling out a compressor or a board is relatively easy.