You would most likely need a shop to do the mounting and installing, and I don't think a reputable shop would do a non-standard repair like that due to liability issues. They will tell you that the only way they will repair it is with a sound tire.
I have put a boot patch on the inside of the tire and cemented the cut together, I then used a radial tire inner tube without problem. Was able to wear tire out.
If the cut is on the sidewall,the tire cannot be repaired nor a tube used.If the cut is on the rolling portion of tire,it can be patched from the inside usually.A plug won't work on a cut,its designed to work for a nail hole,etc.
That wouldn't be safe.