At Patty's Burger Place, run by Sam, Pat, and Lee, here's how things work: When a customer comes in$,$ Sam takes $5$ minutes to take their order. Next, Pat cooks the burger patty while Lee prepares the bun and toppings, and these steps happen at the same time, taking $5$ and $12$ minutes each. After that, Sam puts the burger together, which requires $4$ minutes. Lastly, Pat handles giving the burger to the customer and collecting the payment, which takes $2$ minutes.

How many burgers can Patty's Burger Place make in an hour? $($Or$,$ what's the process's capacity in burgers per hour?$)$