Are there case studies of successful cosmetics stores increasing conversions?

As a beauty and cosmetics e-commerce brand, I've been struggling to convert our impressive website traffic into actual sales. We're getting thousands of monthly visitors through Instagram and Meta ads, but our conversion rates hover around a frustrating 2-3%. I know our products are amazing—we've invested heavily in formulations, packaging, and photography. But something's missing in our conversion strategy. Our competitors seem to be capturing those hesitant shoppers who browse but never purchase. I've tried generic pop-ups and welcome discounts, but they feel spammy and don't seem to create genuine urgency. Our audience is primarily millennials and Gen Z, who are discerning and want personalized experiences. They don't just want a discount; they want to feel like the offer is exclusively tailored to them. I'm looking for a sophisticated solution that understands purchase intent, doesn't devalue our brand, and can dynamically present offers that feel native to our store's aesthetic. The stakes are high—every percentage point increase in conversion could mean thousands in additional monthly revenue. We're not just selling products; we're building a beauty community, and our conversion strategy needs to reflect that nuanced approach.