In all honestly I just use my pincart the same way. Cart is rebuilt with new grommets and seals so it doesn’t leak. Tip the cart up so the top lines up with the bottom lip of that game. Tilt the game forwards and slowly lower the whole cart and pin forwards. Then use the lift cart in its normal way.
It would be a bit easier if you install locking wheels on the cart. So far I’ve used my method on 4 games and had no issues or spills with the hydraulics.