Dropbox Video information using only Dropbox Video public URL

I'm not sure I understand your question. Can you clarify?

Regarding access token expiration, for reference, Dropbox is no longer offering the option for creating new long-lived access tokens. Dropbox is switching to only issuing short-lived access tokens (and optional refresh tokens) instead of long-lived access tokens. You can find more information on this migration here.

Apps can still get long-term access by requesting "offline" access though, in which case the app receives a "refresh token" that can be used to retrieve new short-lived access tokens as needed, without further manual user intervention. You can find more information in the OAuth Guide and authorization documentation. There's a basic outline of processing this flow in this blog post which may serve as a useful example.