1. **Make fish paste:** Process fish fillets in a food processor until smooth. Add curry paste, egg, fish sauce, and sugar. Process until well combined.2. **Add mix-ins:** Transfer to a bowl. Stir in green beans and shredded lime leaves.3. **Shape cakes:** Wet your hands and form mixture into small patties (about 2 inches diameter).4. **Make relish:** Combine cucumber, vinegar, sugar, salt, and chili. Set aside.5. **Fry:** Heat 1 inch of oil to 180°C (350°F). Fry fish cakes in batches for 2-3 minutes per side until golden brown.6. **Drain:** Drain on a wire rack or paper towels.7. **Serve:** Serve hot with cucumber relish and sweet chili sauce.