chore: fix clippy lints (#6112)
### Description
Fix some clippy lints that snuck in:
- The clippy lints weren't blocking for `turborepo-auth` crate due to
the lack of `#![deny(clippy:all)]`
- Unsure why I get the clippy warnings locally, but they don't show up
on CI. Clippy is running on this crate in CI, but the lints don't show
up. Either way, the lints were correct as the `move` directive in the
`async` block means that the redeclaration is unnecessary since they
already are referenced in the block.
### Testing Instructions
CI
Closes TURBO-1429
---------
Co-authored-by: Chris Olszewski <Chris Olszewski>
