Garden Salad with Shanagarry Cream Dressing

Name: Garden Salad with Shanagarry Cream Dressing
Ingredients: 2 medium golden beets; Olive oil, for brushing; Kosher salt; 4 large eggs; 1/2 cup heavy cream; 1 tablespoon apple cider vinegar; 1 teaspoon dry mustard powder; 1 teaspoon dark brown sugar; 1 small head Bibb lettuce, leaves torn into bite-size pieces; 2 cups lightly packed baby arugula; 2 medium tomatoes, cut into wedges; 1/2 English cucumber—halved lengthwise, thinly sliced crosswise; 4 thinly sliced radishes; 2 thinly sliced scallions; 2 tablespoons chopped parsley