NEW YORK — New York’s real estate and legal industries drove much of Mayor Eric Adams’ latest campaign cash haul, the latest filings show, helping put the mayor ahead of any would-be competitors for his 2025 campaign. It was one of several findings in a Daily News analysis of his latest campaign finance report released Tuesday showing Adams raised $399,000 from last July 14 to Jan. 12. All told, Adams has raised about $3 million so far as he vies for a second term. Here’s a look at some key observations from Adams’ latest campaign haul, which covers the most recent six-month period: Big presen…