chore: add full auth into http client (#5857)
### Description
This PR stores `team_id` and `team_slug` in the http cache so they no
longer need to get plumbed through to any task cache method that might
hit the api. This does limit each `HttpCache` instance to use with a
single team, but we already were doing this with the
`ArtifactSignatureAuthenticator` if remote cache signature was enabled.
This is still more flexible than Go where each api client instance is
configured for a specific team.
The PR can be reviewed by-commit, to break up the moving of `team_id`
and `team_slug`
### Testing Instructions
`rustc`
Closes TURBO-1290
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Co-authored-by: Chris Olszewski <Chris Olszewski>
