Release chicken legs and wings, cut legs in half. Remove chicken breast from the bone and cut into slices. Wash, clean, halve and slice the tomatoes. Drain artichoke hearts and cut into quarters.
Clean, wash and cut the salad into strips. Peel and chop the garlic. Put egg, mustard and garlic into a mixing bowl and whisk with a blender. Let the oil run in a thin stream.
Stir in yoghurt and season to taste with salt, pepper, sugar and lemon juice. Wash the thyme and pluck the leaves from the stalks, except for a little to garnish. Carefully mix the chicken, tomatoes, artichokes, olives, thyme leaves and salad.
Fold in the aioli. Arrange in a bowl, garnish with lemon wedge and thyme.