4th Lesson with Jerney
I really enjoy your lessons even though I can very often guess what you're about to say. It's a very good exercise to predict your advise.
However, I disagree with you on the first game of lessen 4, that's
Double Tactician vs. Alchemist Stack.
Since there is no other draw on the board, double Tac is limited to generate at most 8 Coin Tokens per turn (if you don't buy any green cards and get 8 Candlestick Makers. Alchemist, on the other side can easily generate 12-14 Coins per turn. I think, you misplayed that.
I believe, a start with Candlestick maker / Moneylender would be better because you need to erase the Coppers. Next would be Potion and then get Alchemists, if possible, and maybe Ironmongers and up to 4 Golds ( with the extra buys). You might want a second Candlestick Maker, but probably not a third one. I don't think, there is place for a Pawn before your first Ironmonger and even afterwards it's still questionable since you want Islands to erase your Estates. Your goal should be to get to a deck like this:
Province - Island - 2 CandleStick Makers - Moneylender - 4 Golds - 6 Alchemistes - any number of Ironmongers
Then you can easily buy Province + Island each turn, play it and keep clean. You can then score at least 10 points per turn. I'm not good enough to actually estimate whether that is quick enough to win against double Tactician (because it takes probably some more turns to set up), but the payload is just way higher and it can easily be increased to double Province in the end, since you're saving tokens due to Ironmongers generating a few Coins maybe.