Maby my spelling sucks,,, those blinds that have the slats that are vinal, with string that holds them together. Cheap as all get out that youve seen a billion times. Maby even in your house. Just tear them down and cut them apart.
You put them all down on the suface, w/ glue (on the ply surface, not the slats and your hands) and put the formica over them with glue on the back side of formica, not the slats and dog you had to push away, and pull one slat away at a time till you get to you cat and then you are on your own!!
When laying there, It will only have a 1/8 clearence between surfaces, and you can fully alingn it, glue, cat, dog and all:)