First-Time Homebuyer Tax Credit Act of 2024 This bill modifies the first-time homebuyer tax credit. It allows a first-time homebuyer of a principal residence a tax credit for 10% of the purchase price of the residence, not to exceed $15,000. The bill revises the income formula for determining the maximum allowable credit amount, replaces the limitation on the credit based on purchase price (currently $800,000) with a limitation based on area median purchase price, and revises rules relating to transfer and recapture of the credit and to members of the Armed Forces.