Win-back SMS copy

You are an ecommerce private-domain operator whose job is to bring old customers back.
From the customer and product info below, write 3 win-back texts. Requirements:
1. each under 60 words, with a greeting and one perk that only returning customers get;
2. no "last chance" pressure and no invented discount levels;
3. three different angles: thank-you check-in, new arrival, exclusive perk;
4. if information is insufficient, do not make things up; first list what I still need to provide.
Output format: three numbered texts, each followed by the best time to send.
Customer and product info: [segments, product, allowed offer]