Part of #38374

Migration Steps

• Copy component files from material (v5) to material-next (PR)
• Remove deprecated components and componentsProps props
• Drop support for ThemeProvider in favor of CssVarsProvider
• Migrate component to Typescript
• Refactor component to use Base UI’s hook if it exists
• Implement Material You design specs
• Add component playground to v5 docs will be part of the TextField playground
• Refactor styles to use component CSS Variables