Profile Icon and Sign In/Sign Up UI Tweaks

We have two ways for users to sign in:

• A direct "Sign In" button.
• A profile icon that reveals "Sign Up" and "Sign In" options when hovered.

The profile icon should only show after the user is signed in,.

The hover effect for the profile icon looks off. It’s round by default, but on hover, it becomes a square with rounded corners, creating an overlapping effect with two hover states.

Instead of separate buttons (sign/log in, sign up, wallet connect) that might clutter the bar with too many options (example below).

we could use a single "My Account" button. When clicked, a dropdown with options for "log in," "sign up," and "connect wallet" will appear.
Proposed design (before users signs in):

Proposed design (user signed in): Instead of showing only the icon, we can make the profile button more prominent - just like the wallet with its information.

example: https://ui.shadcn.com/blocks/sidebar#sidebar-15

Start by locating the TypeScript UI entry points for the direct Sign In button, profile icon, and wallet controls. Compare the proposed signed-out and signed-in designs, including the hover behavior and the shadcn sidebar example. Done means the agreed account control presents the intended sign-in, sign-up, and wallet actions without overlapping hover states.