First thing I found was https://www.ecapcity.com/products/old-school-nj-snapback-hat-navy-white-green-bottom which is unavailable.

I also found https://www.artistshot.com/new-jersey-logo-embroidery-embroidered-hat-baseball-cap-p-344179?gclid=EAIaIQobChMIxfqhiZLT-wIVlYXICh0XAwLzEAQYASABEgJ1BPD_BwE but the N looks a little weird imo.

I could use the same hat for someone else though so hopefully someone else knows more.

edit: Looks like this website has a couple different colors/styles, but the font looks a little more cartoonish https://www.hatsline.com/product/new-jersey-nj-new-era-snapback-cap-3179517

But I did use https://www.hatsline.com's design a cap and they have the normal looking logo on there. Dunno how much the custom cap costs but yeah, you might need to make a custom cap unless someone has other options.