In a large bowl, beat butter with an electric hand mixer until fluffy.
Add vegetable oil and mix well.
Add in sugar, powdered sugar, egg and vanilla, beating on low until fully incorporated.
In a small bowl, add flour, baking soda, and salt. Cut open the chai tea packet and shake contents into the bowl. Stir to fully combine.
Using a flat spatula or wooden spoon, gently mix flour mixture into sugar mixture. When fully combined, cover bowl with plastic wrap and refrigerate for one hour.
After 1 hour, preheat oven to 350 degrees Fahrenheit. Grease cookie sheet or line with parchment paper.
Using a cookie scoop, drop tablespoon sized scoops onto cookie sheet. Dough will be soft. (See recipe notes for instructions on baking different sized scoops.) Lightly press down on the top of each cookie with the back of a flat spatula or the bottom of a glass to slightly flatten the tops.
Bake at 350 degrees for 9-13 minutes, until outer edges just begin to turn a light golden color. Remove from oven. If you're adding icing, allow to cool completely on a cooling rack first.