I'm a US citizen Can I enter US from Georgia Batumi Airport on my US passport which expires in less than 3 month?
Yes. You can enter the US as a US citizen with a valid US passport regardless of how soon is it going to expire.
American citizens entering the U.S. must show a valid passport, U.S. passport card, Trusted Traveler Program card (NEXUS, SENTRI, Global Entry or FAST), or an enhanced driver’s license. If you have any questions, contact your carrier to find out if they require a specific document.