It doesn’t appear to be T-rail design. The slate side pocket cutouts go past half circle. On a T-rail the slate only goes under the rail as far as the subrail featherstrip. Typically the side pocket cutout innermost circle should line up with the nose cushion giving 0 to 1/8” shelf for side pockets. The OP’s table appears to have a side pocket negative shelf of 1 inch or so. The good news is…this could be corrected and made much closer to specs if all the rails were cut too long. I suspect the play field dimension is way too big for the slate design (44” X 88”). I would talk to a good mechanic who lives close and see if he can’t recut those rails to the correct length and subrails to the correct mitre and down angles. The tricky part, I think, would be to try and get the sights in the right location. Maybe RKC will chime in here. I’m not for sure, but I think this can be done without buying any materials since rails and blinds are too long.
Edit: just thought about the rail bolts and how to move them in…yikes it might be more of a pain than I initially thought. Okay maybe just keep that one as family fun, and nothing wrong with that.