"Progressive systems (Martingale, Paroli, d'Alembert) beat blackjack"
No betting progression changes the house edge. Every system that involves changing your bet size based on prior results is mathematically identical in expectation to flat-betting. They feel like they work because most sessions end in a small win — until the inevitable session that wipes out months of progress.
Martingale doubles after every loss. The math: an N-loss streak requires 2^N units; the table maximum caps you well before bankroll does. EV per round is unchanged at −0.5%; the difference is purely variance. Over a $10k bankroll at $25 starting bet, you go bust on ~10 consecutive losses (~0.1% probability per session), losing the equivalent of ~400 winning sessions.