@ Addo
This Way it would be sucking in cold air but there is one problem.
The Pipe is too long so that response wont be that good. And water can be sucked in too from a puddle ! Which isnt good !
I'd say you fit your filter back to its original position and then get this new pipe which you've installed to pickup cold air and then direct it to the filter.
Im not an expert so wait for someone else to reply ! Cheerz!