"What does that involve?" "Many restarts and luck."

Hell yeah!

Honestly the ONLY reason it's difficult at all is because it's luck-based.

well rather

the items and rooms you get are grounded in luck

If you are interested in doing it:
You need to get the garage and draft the tomb so you can move the mine cart so you can solve the big gear. The tomb will never be in the first draft and I haven't seen it in the second, so two dice are pretty much necessary. I mostly got them from the nursery.

Technically you could also get to the other side of the mine cart with the boiler room and pump room, but the tomb doesn't need specific placement.

The other big thing is either getting foundation or getting the power hammer. If you get the power hammer you can go around the back to the basement; if you get foundation you can go down as long as the back of the elevator is accessible.

(Don't do what some people do and block the map in so that when you get foundation it's useless to you. :| I definitely can't speak to this personally. At all.)

oh and you have to open one of the doors and get to the antechamber, so trying for the green key from the billiard room is the easiest way if you can swing it.

*Great Hall is okay as long as you have a lot of keys.

Greenhouse only works if you don't need the hammer

obviously