×What you need here is Precision. Don't waste any move.

×Enter in the room from the upper left, and kill the starting roaches the best way you can. Then enter the chamber through the right way. (The easy way as said in the scroll).

×You must be precise to clean the roaches that are in the middle of the chamber. Once you have killed all of them, move and rotate Jax to the position indicated in the screenshot, move SE and E. This is the easiest way to switch to the archer. There is no other way to reach him but fighting efficiently and killing the middle roaches.

×You can use the Scroll square as an alcove when needed.

×As long as you have the possibility, keep calling the roaches from the middle by moving East. Or the new spawn roaches will take their places.