Second board for 12yr old

My family and I are all pretty new to surfing. We are 6 months in on a year in Central America. My son (12, 35kg) has done well to learn on a Round-Nose Fish 5’6”, 29L. He is comfortable taking off in 3-4ft waves but can’t duck dive (board too floaty) and seems to struggle to make it turn (skill or width or both?). I wonder if the width and volume are now holding him back from learning? In one way I think he could benefit from a smaller board but on the other hand, there is probably lots of improvement still to be made with this one. Any thoughts from others with kids who have watched their skills evolve? One option might be to just find a small cheap beater and let him have at it. Advice appreciated! Thx.