Yes, this should work. That's the usual thing that I do, make a prompt to the other parties that you're now doing last 5 or last 3 deals left, and regardless of the result, you will exit that session. It's more respectful to say that, as if you just walk away without saying anything, especially when winning, that's a bad behaviour and might lead to unexpected commotion.

But before activating that escape card, the game session should have been running for a long time already. It might not work if you decide to walk right away after winning big, but the session has just barely started, or let's say still in a heated moment.