[discussion] Add Big Calendar component (Scheduler)?

*⚠️ Info: This issue is for product research, to gather community input. In this [base-ui repo](https://github.com/mui/base-ui) we are, currently, focused on the core set of components needed to create a great design system, so the probability we build this in this in this repo is very low.*

## Summary

## Examples in other libraries

- https://github.com/fullcalendar/fullcalendar
- https://bryntum.com/
- https://github.com/jquense/react-big-calendar
- https://demo.mobiscroll.com/scheduler

*([internal benchmark](https://www.notion.so/mui-org/mui-x-Big-calendar-component-Scheduler-8ab23d1850254498a08ed634311a0005))*

## Motivation

It's not clear if this is something that we can deliver with a pure Base UI API, as the lib might be too low-level for the needs the component attempts to solve.

- User requests:
- https://x.com/ABM_Prottoy/status/2042001858856939943
- UI library requests:
- https://github.com/shadcn-ui/ui/issues/3783
- https://github.com/mui/mui-x/issues/1407