chore: Clean up cache usage in workflows (#6444)

* chore: Use same cache as bats tests

* chore: Clarify cache miss check

* chore: Remove use of setup-go cache

* chore: Use separate caches

* CR

.github/workflows/linting.yml

@@ -27,6 +27,19 @@ jobs:
         uses: actions/setup-go@44694675825211faa026b3c33043df3e48a5fa00 # v6.0.0
         with:
           go-version: "${{ steps.get-go-version.outputs.go-version }}"
+          cache: false
+      - name: Determine Go cache paths
+        id: go-cache-paths
+        run: |
+          echo "go-mod=$(go env GOMODCACHE)" >> "$GITHUB_OUTPUT"
+      - name: Set up Go modules cache
+        uses: actions/cache@0057852bfaa89a56745cba8c7296529d2fc39830 # v4.3.0
+        with:
+          path: |
+            ${{ steps.go-cache-paths.outputs.go-mod }}
+          key: go-mod-${{ hashFiles('**/go.sum') }}
+          restore-keys: |
+            go-mod
       - name: Install Dependencies
         # if we really need to we can update this to run `make tools`
         # later but its just not necessary to only run linters