Is Strength Training and Boxing Training Realistic for Beginners to Both

Not inexperienced in weight lifting, but never consistent enough and I am trying to do so now. Also finally decided to join a boxing gym which I'm really enjoying, but already having a hard time managing 3x lifts and 2-3x boxing classes a week. DOMS obviously worse at the start, but my cardio and shoulder are taking a (needed) beating from boxing. Is it worth prioritizing one over the other in the beginning? My realistic boxing goal right now is to reach the skill level that I could compete well in an amateur fight, goal with lifting is to get to a 1.5x BW bench, 2x BW Squat, and just look bigger.