Fixes https://github.com/payloadcms/payload/issues/6823
Allows the server to initialize the AuthProvider via props. Renames
`HydrateClientUser` to `HydrateAuthProvider`. It now only hydrates the
permissions as the user can be set from props. Permissions can be
initialized from props, but still need to be hydrated for some pages as
access control can be specific to docs/lists etc.
**BREAKING CHANGE**
- Renames exported `HydrateClientUser` to `HydrateAuthProvider`
e905675a05