All sorts of advice here, but it all may be pointless if the OP is lacking certain tools.
What sorts of woodworking tools does the OP have? Any sort of machinery, like a thickness planer, bandsaw, maybe a drum/thickness sander? You can make the form with just a sabresaw, and then do some sanding to get it smooth. It has to be a nice smooth curve, no bumps, especially if you glue up laminated strips
No machine tools, how about old hand tools some old relatives gave or were passed down to you? It looks like an oak species - so that would be easy to make by bending green or semi dry wood. I could make that part steam bent with a splitting wedge, drawknife, a spokeshave, card scraper, and a handsaw (and my steambox). No glues to worry about. And it will be just as strong as a laminated piece.
But if its something like cherry or maple, it may be easier (less problems with splitting when making a bend, if its made from laminated strips.
Whether the part is made with laminations or steam bent, forms will be needed. When you make the form, if all you do is copy or trace the existing part, it may not come out exactly the same. The piece will spring-back once taken off the form. The laminated part probably less so than a steam bent piece.