I can tell you that they will come out from behind that mount. The lower line is the easiest, so, remove that one first to provide you with extra room.

The upper line is a PITA and you need to "unwind" it from behind the mount. The opposite end of the line (the cooler end) will be pointing up in the air toward the rear of the vehicle when you finally get it to clear the mount.

Getting the new one in place is even worse because you don't want to damage the end of the tube. Put some duct tape or packaging tape over the end of the tube (cooler end) because you'll have to shove it through the small space........and there is one point where you will swear that it's not going to make it...........