First Deputy Mayor Sheena Wright will resign as soon as Friday, The Post has learned — the latest high-level exit from Mayor Eric Adams’ increasingly troubled administration. Wright’s anticipated departure, confirmed by several sources with knowledge of the situation, comes weeks after the feds raided the home she shares with her husband, outgoing Schools Chancellor David Banks. It’s not an amicable break — with sources saying Wright is unhappy with how Banks was shockingly pushed out of his job months earlier than planned. City Hall didn’t return a request for comment. Wright, who was spotted leaving her Harlem home Friday...