Entity problems. Operating levers

Hello boys

Im trying to do a little puzzle for my map. Basically i have 6 levers that are supposed to open a door if operated correctly. They have two positions, an UP position and one DOWN position.

And when 3 specified levers are in its DOWN position it should trigger a door to open.
This means i dont want it possible to just move all the levers to its DOWN position and it works.

I tried a little but couldn't figure out how to do, so i thought maybe some of you might have an idea.
The main problem im not sure how to come around is how to make the lever both pushable (like a button) and moveable (like an elevator)

Thanks in advance

use 3 func_rot_button its axis based like doors. if you want to use them you need to place a origin brush in it aswell.

then place a multimanager in it and let trigger the func_rot_button the mutlimanager. then give the multimanager the target of the door.