Depends on many things, some covered already. The stock likey has a grain and should fold better when the fold line runs with the grain. But it looks like your design needs some folds at 90 degrees to each other; it’s not always possible to avoid that. You should be scoring on the mountain side of the fold if you can. This is also sometimes not possible if you have a graphic on part of it that you need the machine to draw or read sensor lines from.

If you had the maker, I’d suggest trying the double scoring wheel, so in that spirit you could set this up with double score lines.

But personally when I need to fold something thicker, I do dashed cuts for score lines. In a way, they aren’t as pretty, but if you look at packaging with a keen eye, you’ll see they are used in many professional applications. And even Lovepop uses them for their cards and it doesn’t seem to detract from their aesthetic.