feat: Add M3 Search for Vue and React

[cmath10]

Summary

Add Search from Material 3 to both m3-vue and m3-react.

Problem

Search is available in the M3 catalog but missing in both workspaces.

Scope

• Implement component API and rendering in m3-vue.
• Implement equivalent API and behavior in m3-react.
• Add Storybook docs and examples for both workspaces.
• Add tests and ensure parity between frameworks.

Acceptance Criteria

1. Component is exported from both package entrypoints.
2. Storybook has Docs and practical usage stories in both workspaces.
3. ARIA semantics are documented in MDX.
4. Lint, tests, and typecheck are green.

Reference

• https://m3.material.io/components/search/overview