Should I proactively reach out to stuck customers?

As an e-commerce store owner, I'm constantly battling with abandoned carts and customers who seem interested but never complete their purchase. Every time I look at my analytics, I see these 'stuck' customers – they browse products, maybe add something to cart, but then disappear. It's frustrating because I know these are potential sales slipping through my fingers. I've invested significant money in driving traffic through ads, and watching potential customers get cold feet feels like burning cash. My team keeps asking, 'Should we reach out? Will it seem desperate? What's the right approach?' We've tried generic email follow-ups, but they feel impersonal. I want a strategy that feels genuine, not like a robotic sales pitch. The challenge is finding a way to nudge these customers back without coming across as pushy. I'm looking for a method that respects the customer's journey, provides value, and potentially turns these hesitant browsers into actual buyers. Our conversion rate is okay, but I know we're leaving money on the table by not having a sophisticated re-engagement strategy. I need a solution that's smart, automated, and feels authentic to our brand.