I'd personally avoid the jute net in case Leo's nails get caught, and it may get moldy/harbor bacteria. You can take dowels (bamboo, oak, etc.) and criss cross them up the side of the enclosure for climbing, though! And you can use the lattice to attach horizontal branches. I suppose you could take a ready made lattice, potentially seal it, and use that as well!
I know someone did it for their clearside, but I cant recall who or where. I recall you mentioning you're visual, so something like this:
View attachment 232056
You can lash the dowels together with small zip ties etc. I like it in a diamond pattern, but you can do it however you'd like!