By Anuja Bharat Mistry and Arriana McLymore June 2 (Reuters) – Cosmetics retailer Ulta Beauty raised annual profit forecast on Tuesday, betting that leaner inventory-related losses and resilient demand for high-priced products will help counter rising costs tied to store expansion and marketing. Defying the global luxury slowdown, Ulta Beauty saw strong sales across its stores, driven by affluent and young shoppers splurging on trendy and higher-margin fragrance and skincare brands.