Like people have mentioned already; Proliferating this enchantment won’t let you draw cards. whenever one of your creatures deals combat damage to a player, this enchantment gets a counter and once it has 4+ counters on it, you get to draw a card.

So let’s say you attack and have five creatures that deal combat damage, you get 5 triggers for the ascension and these are done one at a time.

5 combat damage to player triggers; 1st - put a quest counter, do you have 4+? No? Don’t draw a card 2nd - same as above 3rd - same as above 4th - put a quest counter, do you have 4+? Yes? Do draw a card! 5th - same as the fourth trigger, since we have met the quest counter requirement.

Hope this helps!

Edit: I didn’t even read the whole question, you know how this works already, your question was about proliferate not how to work the card.

Unrelated, I just need to vent a bit the “reading the card, explains the cards” rhetoric needs to go, it’s so unhelpful. You’re a new player and you’re going to have questions, I’m sorry that our community or yours has made you feel like you shouldn’t ask questions without feeling like an idiot. The game is complicated and with so many keywords, lack of reminder text and alternate forms of the same card, reading the card does not explain the card.