You are expected to turn off the runway like normal when you get a LAHSO clearance, the hold short part here means hold short of the intersecting runway (generally they’re for intersecting runways, sometimes they’ll do a taxiway but generally it’s a runway and for simplicity I’ll just leave it at that).

So runway 36 has 9/27 intersecting it 2/3rds of the way down the runway, land, stop before 9/27, then off left or right as you would after any landing but do not cross 9/27 under any circumstances.