It’s hard to be specific without seeing the actual head, but surely all you have to do is remove the 5/8 screw and replace it with the size you need. You might need a wide washer underneath.
Otherwise, a quick internet search yields this. It’s the wrong way round as it enables a 3/8 screw to fit a 5/8 socket, but I include it to show that the problem is a known one.
Free delivery and returns on eligible orders. Buy sourcing map 3/8” Female To 5/8" Male Threaded Screw Adapter For Mic Stand Aluminium 1pcs at Amazon UK.
www.amazon.co.uk