chore(ci): fix remote caching for js lint (#9316)
### Description
Hetzner for some reason sets `TURBO_API` to a different server. This
causes [remote cache
failures](https://github.com/vercel/turborepo/actions/runs/11468352625/job/31913289850?pr=9311#step:6:31).
In [other
places](https://github.com/vercel/turborepo/blob/main/.github/workflows/test-js-packages.yml#L111)
we use remote caching we unset `TURBO_API` we just weren't doing it
here.
### Testing Instructions
JS Lint should no longer include `WARNING failed to contact remote
cache: unable to parse 'Forbidden' as JSON: expected value at line 1
column 1`
