New here with a question about insulation

Hello! I am new here with a question about insulating our new 8x20 cargo trailer for use as a toy hauler for dirt biking.
I am currently installing poly-iso 1” between the ceiling bows and plan to put furring strips below that and another ½” of XPS between the furring strips and then install the ceiling laun.
I am fighting to remove the side plywood panels now and have only 2 off so far (evil screw nails) and plan to do another one or two each day. Then, I am planning 1”poly-iso between the studs and foil tape/can foam etc.
That said, here is where I am not entirely sure how to move forward – should I use furring strips on the sides? It would seem that screwing the plywood right back on those metal studs would create one heck of a thermal bridge. I am in Texas and those sides are going to get real hot, but I don’t see many builds where people use furring strips on the sides and have mostly only seen it done on the roof. Any reason for that? Is there something I am overlooking?
I am currently installing poly-iso 1” between the ceiling bows and plan to put furring strips below that and another ½” of XPS between the furring strips and then install the ceiling laun.
I am fighting to remove the side plywood panels now and have only 2 off so far (evil screw nails) and plan to do another one or two each day. Then, I am planning 1”poly-iso between the studs and foil tape/can foam etc.
That said, here is where I am not entirely sure how to move forward – should I use furring strips on the sides? It would seem that screwing the plywood right back on those metal studs would create one heck of a thermal bridge. I am in Texas and those sides are going to get real hot, but I don’t see many builds where people use furring strips on the sides and have mostly only seen it done on the roof. Any reason for that? Is there something I am overlooking?