[Autocomplete][material-next] Add Autocomplete component

[mj12albert]

Part of #29345, related to mui/base-ui#45

This is an umbrella issue to refine the scope and track work for the v6 Autocomplete

Scope (not yet finalized)

Keep in mind we want to minimize breaking changes

• Convert to TS (also part of [Autocomplete] Refactor useAutocomplete to use Base UI building blocks base-ui#45)
• Implement slots and slotProps (only slotProps is currently supported) as a replacement for renderInput, though it may be a good idea to not drop it immediately
• Fix [Autocomplete] Clicking Autocomplete's Input padding or Label doesn't open listbox #29381

Breaking changes (accepted in the past, but unmerged/on hold)

• [Autocomplete] Prevents Autocomplete menu from opening on right click #36389
• [Autocomplete] Add new AutocompleteInputChangeReason #37301

Dependencies

• Popper [Popper][material-next] Add Popper component #39965
• ListSubheader
• Paper [Paper][material-next] Add Paper component #39964
• IconButton [IconButton][material-next] Add IconButton component #39943
• Chip [Chip][material-next] Add Chip component #38024
• InputBase [InputBase][material-next] Add InputBase component #38372
• OutlinedInput (only the classes) [OutlinedInput][material-next] Add OutlinedInput component #39695
• FilledInput (only the classes) [FilledInput][material-next] Add FilledInput component #39052

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All current Autocomplete issues: https://github.com/mui/material-ui/issues?q=is%3Aopen+is%3Aissue+label%3A%22component%3A+autocomplete%22+-label%3A%22package%3A+joy-ui%22