Hello Husqvarna rider,
A/C typically breaks down quickly with engine oil heat, but you can try it.
You can usually get oil specific dye at most automotive parts stores. You will need a UV light and glasses to see details. I usually check oil leaks with minimal lighting or at night for best results.
I work on a lot of automotive systems along with Farm & Ranch and small engine equipment. Using oil dye eliminates a lot of guess work. "The dye don't lie" is a phrase I use often.