codewithsadee/cozynest — reverse-engineered prompt

Build me a modern responsive ecommerce landing page for a simple online shop called CozyNest. I want it to feel clean, warm, and polished, with a nice hero section, product showcase, strong visual grid sections, smooth hover effects, and a custom image or product slider that moves automatically.

Please make it work well on phones, tablets, and desktop. Include a mobile menu that opens and closes smoothly using plain JavaScript. Keep it as a static site with HTML, Tailwind CSS, and vanilla JavaScript, so I can open it in the browser and later upload it to hosting like Hostinger.

The page should look like a finished landing page, not a rough template. Use good spacing, modern typography, nice buttons, product cards, and simple calls to action. No backend or checkout is needed. If you need current Tailwind setup details, look them up online and make it easy for me to run or preview locally.