Vegan and Vegetarian are on the menu, but the same kitchen also prepares what you avoid, so cross-contamination is possible. Tell staff what you react to, and ask how your dish is prepared before you order.
Senait Restaurant serves Ethiopian and Eritrean food in Seattle's Lake City. Its site mentions a vegan Beyaynetu platter, and its menu lists lentil, chickpea and cabbage dishes alongside meat stews and tibs. It makes no gluten-free claim, so ask the staff about the injera and your needs.