Story 2191: Button Badge Component

[jlchilders11]

Issue: #2191

Summary & Context

• Implements the styling and functionality of the Badge Button Component

• Figma links:
  • ML Figma:https://www.figma.com/design/VhZHw3RudFNMzfPEEYchE9/UI-Kit---Foundations-Delivery?node-id=1-2&p=f&m=dev
• Link to components/page: http://localhost:8000/v3/demo/components/#badge-buttons

Changes

• Adds _badge_button.html and badge-button.css
• Implements button example on V3 Page

‼️ Risks & Considerations ‼️

Please list any potential risks or areas that need extra attention during review/testing
None

Screenshots

Self-review Checklist

• Tag at least one team member from each team to review this PR
• Link this PR to the related GitHub Project ticket

Frontend

• UI implementation matches Figma design
• Tested in light and dark mode
• Responsive / mobile verified
• Accessibility checked (keyboard navigation, etc.)
• Ensure design tokens are used for colors, spacing, typography, etc. – No hardcoded values
• Test without JavaScript (if applicable)
• No console errors or warnings