Do lap babies get their own liquids allowance when you travel?

We have 2 adults and a lap baby. Can I bring 3 quart bags of liquids or just 2?

The TSA website says that each passenger gets their own so I'm thinking we should be ok to bring 3 since the baby is still a passenger, just one without a seat.

http://www.tsa.gov/traveler-information/3-1-1-carry-ons

Anyone have experience?