Roughly chop 1 jalapeño and add it to a jar. Pour in the tequila and gently stir. Cover and let steep for 1 hour or up to overnight.
Roughly chop the remaining jalapeño, discarding the seeds. Add the pepper to a blender with the pineapple juice, lime juice, cilantro, and mint. Blend on high for 30 seconds, or until very smooth.
Using a fine mesh sieve, strain the verdita and discard the solids.
Strain the jalapeños out of the tequila, and discard.
To serve, pour 1 ½ ounces infused tequila into a shot glass, then prepare a second shot glass with 1 ½ ounces verdita. Drink the tequila first, then chase it with verdita.