As you may be aware (or you may not - we all lead busy lives) one of GNOME's Google Summer of Code projects for this year (2023) was to add support for
The developer working on integrating network display functionality into GNOME Shell shared short video clip to the GNOME sub-reddit [...] the feature adds a “screencast” button to the row of actions in the Quick Settings menu. Clicking this opens a modal picker where the user can select any Miracast or Chromecast compatible displays on the network.