Pickled Beet Deviled Eggs

Name: Pickled Beet Deviled Eggs
Ingredients: 1 medium beet (7.5 ounces or 205 grams), peeled and cut in half; 1/4 cup balsamic vinegar; 1 tablespoon light brown sugar; 1 tablespoon whole black peppercorns; 1 bay leaf; 3/4 cup plus 1 tablespoon apple cider vinegar; Kosher saltand freshly ground black pepper; 12 hard-boiled eggs, peeled; 1/3 cup mayonnaise, preferably Kewpie; 2 tablespoons Dijon mustard; 1 tablespoon chopped fresh chives; 1 tablespoon chopped pistachios; Baby arugula, for garnish; Crumbled goat cheese, for garnish