Landings are ALWAYS a problem! The best way to do it is to sell the house and buy one with an outside basement entrance, or failing that, a straight staircase without a landing.
Failing that, the second best way, and it will require 2-3 STRONG guys, is to move the game on the dolly to the last step above the landing, stop, unstrap it, and manually lower the game to the landing, leaving the dolly on the stair above. Yes, you are correct. This is NOT as easy as it sounds!
Then, if you slide the game away from the wall, you can rotate and squeeze the dolly back under the game, restrap, and continue down the remaining 2 or 3 steps. You will almost certainly ding the newly painted walls and will have to repaint. It is what it is. Many guys who might normally offer to help with the move will avoid a situation like this due to potential damage to the walls and resultant hard feelings. You can be as careful as you want but the turning, leaning, and twisting of the game will cause at least a small amount of damage to the surrounding walls. I know!
And ps, when you sell the house, sell it WITH the Space Invaders. Going back up the stairs is even harder than going down! It's a one-time thing. Also, as a note, you might be better off with a standard appliance dolly instead of the Escalera since the Escalera is a bit deeper than many non-motorized dollys, making the overall repositioning at the landing somewhat more difficult.
Also pps, measure your cabinet and the landing. It might be close!