Simplified:
White smoke from engine = into engine.
Pool on floor = outside engine.
De-ice sled and dry the floor. Locate where the coolant comes down on to the floor. Check all the hoses for wear and tear.
Link to coolant schematics:
https://www.blwpartsfiche.com/snowmobile/Parts/index.php?year=2013&modelID=1716&assyID=120256
Check cooler in front of track, something might have been thrown with track on to cooler and broke it.
Remove skid-/bulkplate and check if there is coolant, might be a bad hoseclamp.
If nothing is seen after a night in the garage, start the engine and let it get warm, that will build up a little preassure in the system and might help you locate the problem.
On 2012 models they changed the first 0,5m running up to the filler cap with a black hose because the clear hose was prone to break. Check that, maybe i has broke even if the newer version.
M800 -13, Speedwerx full exhaust, PCV. BC WT 660T -06