feat: Badge component

[swernerx]

Summary

Add a Badge component for inline status labels, version indicators, and metadata tags within documentation content.

Motivation

Badges are used frequently in documentation to indicate status (beta, deprecated, new, experimental), versions, or categories. Mintlify includes a Badge component. This is a small but high-visibility component.

Proposed API

<Badge>New</Badge>
<Badge variant="warning">Beta</Badge>
<Badge variant="danger">Deprecated</Badge>
<Badge variant="info">v2.0+</Badge>

Or as inline Markdown (stretch goal):

This feature is [!badge New] in version 2.0.

Features

• Multiple variants: default, success, warning, danger, info
• Inline display (flows with text)
• Light/dark mode styling
• Small and unobtrusive design
• Optional icon support