Add 1 cup of dried apricots and process to combine.
Turn the food processor on again and begin adding small batches of grapeseed oil and lemon juice. You'll want to start with 1/4 cup of oil, and then add a teaspoon of lemon juice. Alternate in this fashion until both liquids are fully incorporated into the apricot garlic paste and the sauce has a mayo-like consistency. This process should take around 10 minutes. When it's done, let it cool to room temperature, and then transfer it to an airtight container and put in the refrigerator.
Notes
This should keep in an airtight container in the refrigerator for at least a few weeks.