Prepare the tea: Bring water to a rolling boil (200°F or 93°C). Then remove from the heat. Steep the tea bags for 10 minutes. Stir in sugar to taste. Refrigerate to cool.
Marinate the chicken: Season chicken thighs with salt, pepper, garlic powder, thyme, and oregano. Drizzle with olive oil, mix well, and let rest while prepping potatoes.
Preheat an air fryer to 400°F (204°C), or preheat the oven if roasting.
Make the dressing: In a bowl, combine lemon zest, lemon juice, olive oil, oregano, red pepper flakes, salt, and honey.
Cook the potatoes: Air Frying: Toss with half the dressing. Air fry in a single layer for 15 minutes. Shake the basket, drizzle more dressing (leaving half for salad), and cook for another 10 minutes until crispy. Oven Roasting: Toss with half the dressing. Spread on a baking sheet and roast for 20 minutes. Stir, add more dressing (leaving half for salad), and roast for another 20 minutes until crisp.
Cook the chicken: Heat a skillet over medium-high heat. Cook the marinated chicken until browned and cooked through. (Internal temperature should reach 165°F (74°C).)
Plate the chicken and crispy potatoes. Drizzle with remaining dressing and sprinkle with crumbled feta cheese.
Combine all salad ingredients in a serving bowl. Season with salt and pepper.