It’s lucky he’s not running for a fourth term.

For the first time yesterday, Mayor Bloomberg admitted his devotion to the Yankees only goes so far.

“I’m not that big a fan,” he said, explaining why he took in the Barbra Streisand concert at Brooklyn’s Barclays Center Thursday night instead of heading to The Bronx to watch the fourth game of the Yankees-Orioles playoff series.

The mayor did turn up at Yankee Stadium last night, however.