If the dealer has checked the cooling system and it's working then you're probably getting one of the heat "warnings".

When the intake air temps exceed a certain level it'll let you know that it doesn't like it. But it won't stop you from riding and as soon as you start moving it'll go away.

If you get a true overheat code, you'll know. It will behave differently.

That said, the 2013 ST's *are* suffering from a design flaw that is causing many heat issues that mostly come from the fact it runs too lean and isn't properly compensating for conditions.

Keep on your dealer and have them keep asking BRP for advice. I was told that BRP *is* paying for things such as wrapping pipes, adding heat tape and other temporary solutions while they come up with a real fix for the problem. But your dealer needs to run point on that and file the claim.