Press tofu for 20 to 30 minutes, then cut into bite-sized nugget pieces.
Submerge tofu in pickle juice and marinate for at least 30 minutes, or up to a few hours.
Whisk together wet batter ingredients until smooth.
Combine panko and seasonings in a separate shallow dish.
Dip tofu pieces in wet batter, then press into the panko coating.
Preheat oven to 425°F or air fryer to 400°F. Arrange nuggets in a single layer, not touching.
Bake 20 to 25 minutes, or air fry 12 to 15 minutes, flipping halfway, until golden and crisp.
Whisk together all honey mustard sauce ingredients while nuggets cook.
Serve nuggets hot with the honey mustard sauce.