In a coffee grinder or mortar and pestle, grind allspice, salt, peppercorns, and red pepper until fine.
In the work bowl of a food processor, pulse together shallot, parsley, tarragon, and marjoram until smooth. Add spice mixture, pulsing to combine. Add oil, vinegar, and lemon juice, and pulse to desired consistency.
Recipe by Bake from Scratch at https://staging.bakefromscratch.com/grilled-lamb-chops-herb-chimichurri/