Brodie Van Wagenen has one reason to smile, at least.

The first-year Mets general manager took a gamble, swinging big with his early picks and then stockpiling under-slot college players, and the unorthodox approach seems to have worked out.

According to Jon Heyman, the Mets have agreed to terms with high-priced third-round high school pitcher Matthew Allan, who was only on the board because of a hefty asking price. Committed to the University of Florida, he was ranked as the 13th-best prospect by MLB Pipeline entering the draft.

At the time of the selection, vice president of amateur scouting Tommy Tanous said the Mets were “very surprised” that Allan was available to them in the third round.

“It was too good to pass up,” he said then.

Allan joins two other highly regarded high school prospects, first-round pick Brett Baty and second-rounder Josh Wolf, to form what the Mets hope will be a trio that will improve their minor league system after dealing their last two first-round picks, Justin Dunn and Jarred Kelenic, in the Robinson Cano trade.

Baty, a third baseman, was ranked 17th by MLB Pipeline and Wolf, a right-handed pitcher, was 36th. All three are now signed, giving the Mets three of the top 50 prospects in the draft based on the experts’ projections.