[Menu][material-next] Add Material You component

[mnajdova]

Duplicates

• I have searched the existing issues

Latest version

• I have tested the latest version

Summary 💡

This issue is to track the work for adding the Menu component to @mui/material-next, moving forward with the Material You effort (#29345)

Material You Chip specification: https://m3.material.io/components/menus/overview

Migration Guide steps

• Copy component files from material (v5) to material-next: PR
• Remove deprecated components and componentsProps props (not applicable, the component already uses the slots & slotProps props
• Migrate component to Typescript PR
• Refactor component to use Base UI’s hook if it exists PR
• autoFocus should be configurable PR
• there shouldn't be a need in the test to focus the menu so that the keyboard keys can be tested - this is due to the fact that auto opened menus shouldn't steal focus. We need to document this in the migration guide
• select menu variant support (in Base UI the menu items have no notion of selection, this will need to be changed)
• Ensure slots & slotProps have keys for each slot
• Drop support for ThemeProvider in favor of CssVarsProvider
• Implement Material You design specs
• Add component playground to v5 docs
• Refactor styles to use component CSS Variables

Note: If a task is marked as [WIP] it means someone is working on it