What's the best way to work with states from other libraries?

[TedGardner]

On a high level: when working with states from other libraries, should I:

• Try to push data from external libraries to the Redux state and have one all-in-one state?
• Try to avoid pushing external state to the Redux state and combine them in components/hooks?

On a lower level:

In the project I'm working with, it was suggested that we use TanStack Router for our routing. This has sort of its own state system, mainly what URL the user is at as well as any parameters in view. Generally, I'm using its callbacks (beforeLoad or loader) to dispatch thunks, though technically I could rely on their library exclusively for calls and access the successful results through hooks.

I've also got some places where both the router and Redux state have the same variables (entity id, page #, etc).