NEW YORK — Mayor Eric Adams has so far raised nearly $3 million for his next mayoral run, but his fundraising operation has flagged in recent months — a dip in political cash flow that coincides with several scandals that have damaged his administration. Adams’ latest fundraising haul, which was made public Tuesday by the city’s Campaign Finance Board, comes as his campaign faces a federal investigation into potential inappropriate ties to Turkey and after two state probes led to the indictment of his former Buildings Commissioner Eric Ulrich and the indictments of several people allegedly inv…