I received a homestead exemption in Georgia for 2022. Where do I put that information in turbotax?

A homestead exemption is not entered on a Georgia state tax return.  You report the property taxes paid on the federal return as an itemized deduction.  The federal Adjusted Gross Income flows to the Georgia state return, Form 500 Line 8.

Homestead exemption pertains to lowering your county property taxes. The federal return's Schedule A simply records the total property tax paid and does not delve into the detail of the exemptions involved.