Are there any special rules for playing beer pong with different sizes of balls?

Each player, once per game, can summon a specific cup if they are not in contact with any other cup (it stands out because of the hitting of the surrounding cups, not the sliding of the cup).

Beer pong

is a popular drinking game, a competitive “team sport” and a way of life for weekend lovers. If you want to party, Entropy Bar offers drinks at affordable prices and even offers beer pong. The beer doesn't have to be drunk all at once, but you can't remove the cup from the table until the beer runs out.

Since Beer Pong isn't much of a challenge for Cornhole veterans, use the Ring of Fire variant to show off your skills. Place ten cups (usually 18 oz or 16 oz) in the shape of a pyramid, as shown in the diagram, on each side of a beer pong table (usually about 8 feet long). Beer Pong is usually played by teams of two, in which each team takes turns throwing a ping-pong ball into the other team's glasses. All players must behave in a respectful manner toward other players, referees, and the sport of Beer Pong.

The standard rule of beer pong is to replace one tray with 6 remaining cups and the other when there are 2 or 3 cups left.