warping comes from rapid heating/cooling of routing, and the linear pressure of your bit pressing against the metal.
as others have stated, a misting system is ideal for cutting aluminum BUT you also, at the very least, could add an
air sprayer if you don't want to afford a
coolant/oil system. The rapid expansion of air coming out of the nozzle tip, concentrated on your router bit, will help keep your tool & the aluminum cool enough to cleanly cut .063 aluminum.... adding a coolant/lubricant is just the cherry on top.
also, avoid cutting with the 1/8" bit. They break often. I use it to drill/detail corners but the majority of my aluminum cuts are with my 1/4" aluminum upcut bit.
you may also have issues with tool longevity, because you're introducing glue to your route. that glue gets gummed up on the router bit, and causes more friction as you're cutting, which causes more heat. recommended you keep a bottle of adhesive remover handy and occasionally pause your route to clean the bit as you notice this happening.