Here is my full walkthrough of Act 4, complete with this achievement!
*Note: It has to be Tuesday to get this achievement. Play it Tuesday, or change your system to Tuesday*
1. After boating down the tunnel as Shannon and Conway, you'll go to a restaurant.
2. When you get to the top, go to the far right to the guy at the Claw Machine.
3. Then, you'll go back to the table, talk a bit, and be handed a menu.
4. You'll get 4 options: 3 meals, and then "turn the page" or something like that. Elect to see more options.
5. Do this 3 times total, so that you see 12 dishes total, unlocking the achievement.