Rizz Party Deck

Seby (group leader) combines $2$ standard decks of cards in preparation for the TikTok Rizz Party, resulting in a stack of $104$ cards. While "Carnival" was playing, Seby was admiring Turkish Quandale Dingle's $\textbf{GYATT}$ so much that he accidentally dropped $15$ cards uniformly at random from the deck. Find the probability that within the remaining $89$ cards, Seby is able to create a standard deck of cards i.e. one of every rank and suit. Round to the nearest ten-thousandth.

Answer format: round to 3 decimal places.