Put those cards into your graveyard, then shuffle
The four-mana Dimir colored 4/4 with lifelink and ward 1 (I'd prefer 2 for that casting cost) has an ETB ability to look at a hand and then force a discard and draw
Collect Evidence Mysteries abound, but the keys to unlocking them all may be in your graveyard
While we can win the game just by attacking with a ton of hasty balloon tokens, we can also win without attacking at all thanks to Kambal, Profiteering Mayor, Elas il-Kor, Sadistic Pilgrim, and Funeral Room // Awakening Hall, which can drain our opponent out of the game directly as our tokens enter or as our Balloon tokens sacrifice them on our end step
Thats a lot of mana to commit at any point in the game, and since the effect is open information, your opponent can do a surprising number of things to prevent you from paying the mana