Gimme My Garlic and Give It to Me Good Burgers - Sutter Home Family Vineyards

Ingredients

• 3 heads garlic
• 2 tablespoons extra-virgin olive oil
• 1 cup mayonnaise
• 1 medium-sized shallot, minced
• 2 teaspoons lemon juice
• 1 tablespoon extra-virgin olive oil
• Gray salt
• Freshly ground black pepper
• 1 stick unsalted butter, room temperature
• 3 garlic cloves, minced
• 1 tablespoon fresh tarragon leaves, minced
• 1 tablespoon fresh basil leaves, minced
• 1 teaspoon lemon juice
• 6 slices pancetta, roughly chopped
• 1 1/2 pounds dry-aged NY ground chuck
• 1/2 pound dry-aged NY ground sirloin
• 1 tablespoon roasted garlic (reserved from making the aioli)
• 2 teaspoons fresh basil leaves, minced
• 1 1/2 teaspoons gray salt
• Vegetable oil, for brushing on the grill rack
• 6 (3 by 4 inch) pieces sourdough baguette, halved lengthwise
• 1 bunch arugula leaves