ci: use BuildBuddy for rust-ci-full non-Windows argument-comment-lint (#16136)

## Why

PR #16130 fixed the Windows `argument-comment-lint` regression in
`rust-ci-full`, but the next `main` runs still left the Linux and macOS
lint legs timing out.

In [run
23695263729](https://github.com/openai/codex/actions/runs/23695263729),
both non-Windows `argument-comment-lint` jobs were cancelled almost
exactly 30 minutes after they started. The remaining workflow difference
versus `rust-ci.yml` was that `rust-ci-full` did not pass
`BUILDBUDDY_API_KEY` into the non-Windows Bazel lint step, so
`run-bazel-ci.sh` fell back to local Bazel configuration instead of
using the faster remote-backed path available on `main`.

## What changed

- passed `BUILDBUDDY_API_KEY` to the non-Windows `rust-ci-full`
`argument-comment-lint` Bazel step
- left the Windows packaged-wrapper path from #16130 unchanged
- kept the change scoped to `rust-ci-full.yml`

## Test plan

- loaded `.github/workflows/rust-ci-full.yml` and
`.github/workflows/rust-ci.yml` with `python3` + `yaml.safe_load(...)`
- inspected run `23695263729` and confirmed `Argument comment lint -
Linux` and `Argument comment lint - macOS` were cancelled about 30
minutes after start
- verified the updated `rust-ci-full` step now matches the non-Windows
secret wiring already present in `rust-ci.yml`

## References

- #16130
- #16106