dnf module errors with mitogen on Ansible 2.6.17+

[psvmcc]

I see errors on dnf tasks like:

PLAY [Common server configuration] *********************************************
Failed loading plugin "copr": module 'dnf' has no attribute 'cli'
Failed loading plugin "debuginfo-install": module 'dnf' has no attribute 'cli'
Failed loading plugin "copr": module 'dnf' has no attribute 'cli'
Failed loading plugin "debuginfo-install": module 'dnf' has no attribute 'cli'
Failed loading plugin "copr": module 'dnf' has no attribute 'cli'
Failed loading plugin "debuginfo-install": module 'dnf' has no attribute 'cli'
Failed loading plugin "copr": module 'dnf' has no attribute 'cli'

Task example:

- name: Setup rsync
  ansible.builtin.dnf:
    name:
      - rsync-daemon
    state: present

Output messages:

TASK [rsync : Setup rsync] ****************************************************
Failed loading plugin "debuginfo-install": module 'dnf' has no attribute 'cli'
ok: [hostname]

Without mitogen everything works well.

• Which version of Ansible are you running?
  2.16.6 works well, and starting from 2.16.7 I see issues, and with 2.17.4 also

• Is your version of Ansible patched in any way?
  No

• Are you running with any custom modules, or module_utils loaded?
  No

• Have you tried the latest master version from Git?
  I see issue with mitogen 0.3.9 and with just released 0.3.12

• Do you have some idea of what the underlying problem may be?
  I found this Failed loading plugin "debuginfo-install": module 'dnf' has no attribute 'cli' rpm-software-management/dnf-plugins-core#520
  And this https://github.com/ansible/ansible/pull/82725/files#diff-b1696caabd083d8176e1b14ad10716e8c88d882bf9e49e1a167f3a6cb702a21eL578

• Mention your host and target OS and versions
  My host - MacOS, but I use venv
  Target host - OracleLinux 9(latest)

• Mention your host and target Python versions
  My host - 3.12
  Target host - 3.9