Please Forgive the soapbox moment that follows:
to clarify that light/medium/heavy is the TENSION that the package is put together for intended use.
A light tension #6 E string is about the same gauge as a medium tension #5 A string just tuned up a 4th higher. My go-to reference is the D-Addario string tension guide, showing every gauge and its tension across a full octave of notes you can tune it to.
If I'd only had that reference before many years of trial and error!
I had the same problem with my 2x4 guitar, same scale length. I started with the 3/4/5 strings as usual (in this case an acoustic set 25/32/42) and couldn't get the low string to come into tune, it was super tight and still a note low. I switched it out for the 2nd string which was a 16 and it worked great, tension feels ok, I like the sound but there is some twang to it. Funny thing is I had a couple of these sets and the other ones worked fine with no issues or maybe not enough to notice.
String tension calculators that I recently wiled away an hour on. I build 25" scale gits, GDg, .042/.032/.022.I've tried different high g strings...010, .013, etc., but I like the heavier wound .022. Anyway, I was muckin' around with tensions, seein' what might balance better than my chosen gauges. The science is pretty straight forward, but I found that even though my tensions were not as close to balanced as one could achieve, the tone and sound are good. It looks like .046/.030/.023 would be better balanced. So science will balance with art when building and playin'. And as we all discover when buildin' gits, there are so many "art" variables..box size, neck wood, electric strings vs. acoustic strings...that a balance of art and science is somewhat random in outcome. Some of my gits sound awesome, others less so. So, I will try some slight variations when stringin' up a couple of gits, but gettin' close is probably gonna be close enough. So light vs. medium vs. heavy will be in the ear of the beholder. Thankfully, strings are a cheap commodity, so experimentation is a low cost excursion into finding your sound. My .02.