[5.4] Integrate Style Adapters into Templates

[adnaan]

Description

Update all component and kit templates to use style adapter references instead of hardcoded classes.

Depends on: #5.2, #5.3

Tasks

• Update component templates to use {{.Styles.X.Y}}
• Update kit templates to use same pattern
• Ensure styles are passed through template context
• Test with both Tailwind and Unstyled adapters

Acceptance Criteria

• No hardcoded CSS classes in templates
• Same template works with any adapter
• All components render correctly with both adapters

[adnaan]

Delivered in PR #162 (merged to main 2026-03-02).