Hey James. Cool project, sounds like you and I have similar tastes in tables, IMO GC tops have gotten progressively better through 4/5/6 generations, but the older style legs/pedestals look cooler than the gen 5/6. Also sounds like you've got a hell of a great deal on that GC5 top, wow! It's a shame that the tool-from-toledo can't seem to provide a coherent, non condescending answer for you, given that this is the table mech forum, but that's pretty much the norm, sadly.
I'm no mechanic, but I'm pretty sure the short answer you're looking for is that with a corner pocket mouth size of 4.25" you'll probably want a pocket facing angle of 140°. Long answer follows... I have a GC6 TE with slightly wonky pockets (rattle balls worse than a witches titty in a brass bra in winter, which soured me on Brunswicks TE option), and spent a good bit time on AZB a while back trying to get educated on what really constitutes good pocket setup. Suggest you confirm, but it's what I've been able to glean from sifting through various AZB threads. I think this came from RKC (who seems to be MIA lately),
@rexus31, and a few other helpful guys that have a lot of table experience.
The 142° (+/- 1 deg) corner pocket horizontal facing angle "standard" comes out of both
BCA specs and
WCA specs, but those facing angles are specified in conjunction with corner pocket mouth sizes of 5.0" (+/- 1/8") for BCA and 4-9/16" (+/- 1/16") for WCA, both of which are far more generous than the sizes we're talking about. Diamond's pro cut tables with 4.5” mouths apparently use a 141° pfa that Trent mentioned - which are widely considered by most folks to play superbly. Going below 4.5" corner mouths takes you out of the range of those specs and the throats/angles need to be reduced beyond that to maintain good playability. I think you'll find that your target spec of 4.25" corners with 142° may play tougher than you want; my GC6 TE corners came out as 4.3" ish with 143-144° ish angles (3.6" throats) from BW and essentially play about the same as some of the 4.0" tables I've played on, and not what I was after.
Apparently there is a linear rule of thumb that says that each reduction of 1/8" of corner pocket mouth size should correspond to 1° less on the pocket facing angle. The way I've interpreted this is that if we say BCA/WPA specs are roughly sane within their respective ranges and we know Diamond procuts play great - then let's call corner mouth size of 4.5" and PFA of 141° - to be the "baseline" for figuring out how to maintain good playabilty as we go smaller. Following the rule, this means your target 4-1/4" mouths are 2/8" less than baseline and should have 2° less on the facing angles, thus = 140°. Those are the specs I've also settled on for my own GC, if/when I get around to it. Following the example, 4-1/8" corners would choose 139°, 4.0" would use 138°, etc. There are a few old threads with inputs from smart table/room owners that seem to validate all this.
Hope I didn't mess that up, and that it helps. Good luck, please follow up with your build results and pics! I used to travel to Finland occasionally for work and to cave dive in the Ojamo mines - always wanted to get to Norway, but never made it. Next time I'm in your neighborhood, can I invite myself over for a work out on your home table?
Cheers