Place the eggs in a medium saucepan and cover them with cold water. Bring to a boil over medium-high heat. Once boiling, cover the pot, remove it from heat, and let sit for 10 minutes.
While the eggs are cooking, prepare the pickling brine by whisking together the beet juice, white vinegar, sugar, salt, black peppercorns, mustard seeds, and garlic powder in a mixing bowl until the sugar dissolves.
Transfer the eggs to a bowl of ice water to cool for about 5 minutes. Once cooled, peel the eggs under running water for easier peeling.
Place the peeled eggs in a jar and pour the prepared pickling brine over the eggs, ensuring they are fully submerged. Optionally, add fresh dill or a bay leaf for extra flavor.
Seal the jar tightly and refrigerate for at least 24 hours for the flavors to develop, preferably letting them sit for 3-5 days for best results.
When ready to serve, remove the eggs from the brine and slice them for salads or enjoy them whole as a snack.