Mushroom Shawarma

Name: Mushroom Shawarma
Cuisine: European
Ingredients: 1/2 tbsp ground cumin; 1/2 tsp ground cinnamon; 1/2 tbsp smoked paprika; 1/2 tsp onion powder; salt + pepper; 2 sprigs of fresh thyme, leaves picked; olive oil; 4 portobello mushrooms; 4 flatbreads; 150 g (5.3 oz) vegan yoghurt; 1 garlic clove, peeled + diced; 1 gem lettuce, thinly sliced; 200 g (7 oz) cherry tomatoes, quartered; 100 g (3.5 oz) pickled red cabbage; 1 small handful of fresh mint, leaves picked; hot sauce, for serving