Bring 5 or 6 inches of water to a boil in a large pot. Salt boiling water and add pasta. Cook for 3 to 4 minutes, until pasta is just tender and the tortellini are floating like buoys. Drain tortellini, then cool the cooked pasta by spreading them out on a large plate or a cookie sheet in a single layer.
Coarsely chop baby spinach. Combine with artichoke pieces, roasted red pepper and red onion. Chop garlic, then add salt to it and mash it into a paste with the flat of your knife. Transfer garlic paste to a small bowl and add lemon zest, lemon juice and vinegar to it. Whisk in oil, thyme and pepper. Add pasta and sun-dried tomatoes to the salad. Dress salad and gently toss. Serve or refrigerate.