[discussion] Add Dock Manager component?

*⚠️ 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 repo is very low.*

## Summary

There are actually two parts to this one:

Flexible Grid Layout

Dock Manager (A full-featured grid layout / dock manager)

## Examples in other libraries

Flexible Grid Layout

- React Grid Layout https://github.com/react-grid-layout/react-grid-layout
- Swapy https://github.com/TahaSh/swapy

Dock Manager

- Dockview
- https://dockview.dev/
- https://github.com/mathuo/dockview
- https://www.infragistics.com/products/ignite-ui-react/react/components/dock-manager
- https://x.com/Antfroze/status/1806415383181865173
- Golden Layout https://github.com/golden-layout/golden-layout
- React Mosaic https://github.com/nomcopter/react-mosaic
- Highcharts Dashboard https://www.highcharts.com/docs/dashboards/installation
- https://www.highcharts.com/docs/dashboards/installation

*([internal benchmark](https://www.notion.so/mui-org/x-Advanced-layout-component-e-g-for-dashboard-2a121ed1661645fea26a776f2171cebf))*

## Motivation

TBD

- User requests:
- /
- UI library requests:
- /

No implementation files, tests, or entry points are named. Start by reviewing the linked React Grid Layout, Swapy, Dockview, Golden Layout, and React Mosaic examples, then assess community input and product scope. Done would require a decided direction, but this discussion explicitly says implementation in this repository is unlikely.

Written by the indexing model from the issue text.