User Profile - Copy this React, Tailwind Component to your project

Design a responsive sticky navigation bar featuring a logo on the left side. On the right, include buttons for signing in and signing out, along with a cart icon. Place a search bar in the center. The logo should prominently display the bold text "Premium." For mobile screens, ensure that all elements except the logo collapse into a hamburger icon on the left, which, when tapped, reveals the menu options.