On a gorgeous day in Rye, Brian Cashman didn’t want to send a cloud all the way down to Tampa. It’s just that the Yankees’ general manager, 16 years on the job, has seen way too much to place optimism where it doesn’t belong.

Mark Teixeira played in a simulated game yesterday at the Yankees’ minor league complex? OK. Mark it down as a good day, but don’t mark Cashman as much more convinced the Yankees will be getting their regular first baseman back anytime soon.

At the Yankees/New Era Pinstripe Bowl Charity Golf Classic at Westchester Country Club, I asked Cashman if he considered Teixeira “out of the woods.”

“No,” Cashman responded. “Unfortunately, with his circumstance, you’ve got to go through the entire process. I point as early as Brett Gardner last year.”

Gardner, you might remember, suffered a right elbow injury last April. Cashman conflated that ailment with the right wrist surgery Gardner underwent in December 2010, yet the greater point stands: Gardner revved up to start the official rehabilitation clock — playing in the minor leagues — and had to shut it down after just two games. Then he took another four weeks of rest and rehab and played in one game before surrendering to surgery.

Back in March, Cashman said Teixeira’s torn ECU sheath in his right arm is 70 percent likely to heal without surgery. That 30 percent negative scenario hasn’t yet dissipated.

“Until he’s actually rehabbing in [minor league] games ... we’ll hold our breath for a while, and then he’ll go through spring training,” Cashman said. “If that goes fine, then I’ll believe that we’re OK. But prior to that, I’m not going to count my chickens yet.”

Teixeira was pleased enough by yesterday’s development that he took to Twitter, writing, “Felt good to get my first AB’s since March.” He went 1-for-2 with a double and a walk.