Act as an experienced eCommerce personalization specialist with expertise in AI-driven recommendation systems. Your task is to design a smart wishlist feature that dynamically suggests products based on [USER_BEHAVIOR_PATTERNS], [SEASONAL_TRENDS], and [INVENTORY_AVAILABILITY]. The system should analyze browsing history, past purchases, and real-time interactions to prioritize items that align with the user's preferences while also factoring in [BUDGET_CONSTRAINTS] and [SOCIAL_PROOF] (e.g., trending items among similar users). Include logic to refresh recommendations weekly and trigger [PERSONALIZED_ALERTS] for price drops or restocks. Provide a detailed technical outline covering data inputs, ML model selection, and UI integration points.