Secondary water seals on dinette slide

[F and E Damp]

I'm in the process of replacing the overhead cabinets in the dinette/living room slide of my GT325 due to a water ingress issue that resulted in a mold growth in the slide-out ceiling and the cabinets.

On the inner edge of the slide ceiling there's a 5" high length of 1/2" plywood that has a tubular seal running along its top edge. It appears that this butts up against the inner seal on the slide-out aperture at the rig's sidewall.

The original was a hollow tube of some elastomer material, about 3/4" diameter, with a strip of adhesive down the side which attached it to the plywood. For some weird reason, the seal was also stapled about every 9" to the plywood, with the staples going though both walls of the rubber tube and crimping it.

Those plywood pieces are mold infested and are going to the landfill. I'm making new ones. The only comparable seals I can find (Camping World) are circular foam with a strip of adhesive similar to the originals. My plan is to get that material and rely on its adhesive strip to hold it in place.

Question is, can I add additional holding devices? My thought, when I assumed I could get a similar tubular material, that I could put a strip of thin rectangular molding inside the tube and use screws to hold the seal in place. That isn't an option with a foam seal.

Any ideas?