Eric $(32)$ is a U$.$S$.$ citizen. He was married at the beginning of the current tax year. His wife lived in the household until August. Their divorce became finalized on November $24,$ and Eric did not remarry before the end of the year. Eric paid $100\%$ of the cost of maintaining the home for himself and his daughter, who lived with him all year and is his qualifying child.

What is Eric's most advantageous filing status for $2023?$When the Mortgage Interest Credit is claimed on the federal return, what credit or adjustment is made on the California return?