Can't take over 3 oz through tsa. If you buy in the airport than yes, it can go in carryon.
If a liquid container has 3.4 ounces (100 milliliters) or more per item, regardless of how much liquid is inside, they must be checked on, NOT carried on. As far as carry ons (stored inside the passenger cabin), the container of liquid must be 3.4 ounces (100 milliliters) or less per item and total group of liquid containers must fit inside a 1 qt sized bag
It can be brought on as carry on if it was bought after security. Otherwise it will have to be checked.
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