A retail dealership purchases some Expedition TUV Ye II Ski to stock in its stores. Examining the merchandising terms of the manufacturer, Bombardier, the dealership notices that it would be eligible to receive a $35\%$ trade discount, $15\%$ volume discount, and $3\%$ loyalty discount. Because it is June and Ski is out of season, Bombardier offers a seasonal discount of $12\%$ for purchases made before June $30.$ If the MSRP for the Ski$-$Doo is $$12,399\mathrm{.}00$ and the dealership purchases this item on June $15,$ what price would it pay?

$5022\mathrm{.}36$ is the answer or not