Act as a product designer with 5+ years of experience in functional ceramics. Design a premium, ergonomic [MATERIAL: porcelain/stoneware] tea cup featuring an embedded [TIMER TYPE: digital/analog] brew timer that activates when hot water is poured. The cup should have a [STYLE: minimalist Japanese/modern geometric] aesthetic with a [CAPACITY: 300ml/400ml] volume. Include subtle customization options like engraved initials or a user-selectable timer duration (1-5 minutes). Render the product in a cozy, well-lit scene with steam rising from the cup to emphasize its functionality. Use warm, natural tones and focus on tactile textures that invite interaction. The design should balance high-tech features with traditional tea ceremony elegance.