It seems to me that the language on the coupon says that you get paid 3-1 on your first blackjack whether or not you win the hand--as in, even if the dealer has a blackjack as well!
Has this ever been tried/contested? The more precise language should be "first WINNING blackjack." but it doesn't.
And if you don't get paid on a push, then is the coupon over? Any subsequent blackjack won't be your first blackjack, so according to the language, you wouldn't get the extra payout!!
I would expect them to say that a pushed BJ wouldn't get paid at all and you could keep the coupon, but I can see somebody making a big stink about this, as is so often the case when imprecise language is used in a contract (which the LVA coupon definitely is).