Gotta Go!

You go to an all-you-can-eat restaurant with a bunch of other people. Every single one of you, however, is thinking about eating quickly and leaving early so that the last person at the table gets stuck with your bill.

On the table in Gotta Go! are food cards, each consisting of a dish and a drink, with seven different dishes and seven different drinks, with each combination appearing on exactly one card. You must try to collect different meals and drinks, and as soon as you feel that you have enough, quickly grab a "Gotta Go!" card on the table and leave the restaurant. When all the "Gotta Go!" cards have been taken, the round ends. Anyone still in the restaurant doesn't score, while those who have left in time score points equal to the square of the food cards he's collected – unless he's collected two cards with the same dish or drink, that is, in which case he also scores nothing!

Can you eat and get away quickly enough that you get out of paying your bill?