This is rather straightforward, except for a small trick.
Whenever you transition east into the aga tower room, you get placed on between the left/right halves of the supertile, and there's a 5-pixel window on the Y axis where not only will you be standing on the northern wall that connects the doorways between the halves... but also holding down will pop you out of the top of the wall, as well as holding up will pop you out of the bottom into the doorway. If you're too far north, you can do a backup plan of jumping into the pit then entering the stairs from outside, the going back up them so you can reach the inner door. If you're too low.. you can't get outside to store EG, so... fail.
To find these pixels, once the screen stops scrolling north it will work 7-11 pixels past that (a 5 pixel window).
So, if you are on these pixels, first you press down, then you up/left to jump into the pit (putting you back where you started), then press up then hold down/left to go through the doorway and transition west.
Another interesting note, once you reach the well with this route the X-axis will be bugged.. which lets us get out of EG without jumping and losing our stored EG. By transitioning left, lined up with the lower part of the room, you get placed on the ground floor. =)
![](https://i.ytimg.com/vi/cbuO_udVAXk/mqdefault.jpg)