ci: Check spelling separately from formatting (#19385)

This PR moves the spelling check out of the `check_style` action, which
we can leave for just checking formatting.

We can't use the `crates-ci-typos` action as-is on the macOS runners due
to the absence of `wget`.

Release Notes:

- N/A

.github/actions/check_style/action.yml

@@ -4,11 +4,6 @@ description: "Checks code formatting use cargo fmt"
 runs:
   using: "composite"
   steps:
-    - name: Check for Typos with Typos-CLI
-      uses: crate-ci/typos@v1.24.6
-      with:
-        config: ./typos.toml
-
     - name: cargo fmt
       shell: bash -euxo pipefail {0}
       run: cargo fmt --all -- --check