Part of #38374

Migration Steps

• Copy component files from material (v5) to material-next (39166)
• Remove deprecated components and componentsProps props (39483)
• Drop support for ThemeProvider in favor of CssVarsProvider (39483)
• Migrate component to Typescript (39483)
• Refactor component to use Base UI’s hook if it exists - useSlotProps
• Implement Material You design specs (39483 but will be polished when working on TextField)
• Add component playground to v5 docs will be part of the TextField playground
• Refactor styles to use component CSS Variables (39483 but will be polished when working on TextField)