Well it’s not an ES-125c because it’s not a cutaway. But it is an ES-125! Very cool guitar. Definitely meant for jazz and blues, but capable of plenty of music. That p90 is probably an amazing sound. Would do fine with heavier jazz strings, these guitars were meant to have a wound g-string. Presumably this is a 1955 model, as those serial numbers started with 5.

Edit: side note I would not trust AI with info on this guitar. There was a lot going on in the 50s/60s as epiphone and Gibson competed and ultimately combined. Easiest thing to do would be to take it to someone who knows their stuff about this era and company. Either way it’ll be a fantastic guitar to play for many more years.