Nice polish on the gameplay! I had an issue though where the cards were very small on my large screen no matter my browser tab zoom size.
I like the theme! I think Blackjack is a bit tricky for this kind of progression though, as losing 3 times in a row (two lives and the dealer hand) is not at all uncommon - and in fact, I found the optimal strategy was just bust out at the start until you get a winning death hand and then you can "start your run."
Instead of lives, it might be interesting to start with a large chip stack, enabling some losing runs, and incorporate the "death hand" after x losses? Just some quick thoughts. Nice work for your first jam, I like the card art and music too!