Remove Checkout step

Every time actions/checkout is used, all previous context is removed
unless you specify a special flag:
actions/checkout#1525

This causes a bug with empty allure report.
This commit fixes this bug.

Signed-off-by: Oleg Kulachenko <oleg@nspcc.ru>

Author: vvarg229

action.yml

@@ -81,9 +81,6 @@ runs:
       run: |
         echo "NEOFS_ATTRIBUTES=RunNumber=${{ github.run_number }}-$TIMESTAMP,Type=neofs_test_files" >> $GITHUB_ENV
 
-    - name: Checkout gh-push-to-neofs
-      uses: actions/checkout@v4
-
     - name: Set up Python
       uses: actions/setup-python@v4
       with: