Allow Tab content to control icon, badge, and title in AppShell

[dcrjodle]

Summary

Need to implement a mechanism for Tab content to control the icon, badge, and title of the tab itself. This should work within an AppShell context.

Additional Context

Suggestion to explore using useContext as a potential solution.

Related

https://ivy-interactive.slack.com/archives/C09PMA599RC/p1783682892713889?thread_ts=1783682892.713889&cid=C09PMA599RC

Reported by @nielsbosma