build(deps): bump taiki-e/cache-cargo-install-action from 1.2.1 to 1.…

…2.2 (#3139)

Bumps [taiki-e/cache-cargo-install-action](https://github.com/taiki-e/cache-cargo-install-action) from 1.2.1 to 1.2.2.
- [Release notes](https://github.com/taiki-e/cache-cargo-install-action/releases)
- [Changelog](https://github.com/taiki-e/cache-cargo-install-action/blob/main/CHANGELOG.md)
- [Commits](taiki-e/cache-cargo-install-action@v1.2.1...v1.2.2)

---
updated-dependencies:
- dependency-name: taiki-e/cache-cargo-install-action
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

.github/workflows/clippy-fmt.yml

@@ -70,7 +70,7 @@ jobs:
         with:
           toolchain: nightly-2023-08-25
 
-      - uses: taiki-e/cache-cargo-install-action@v1.2.1
+      - uses: taiki-e/cache-cargo-install-action@v1.2.2
         with:
           tool: cargo-public-api