Ansible playbook copying content of a remote directory to another recursively

ansible_cp_r.yml

---
- name: Recursive copy
  hosts: all
  vars:
    my_src: /path/to/src/dir
    my_dst: /path/to/dst/dir
  tasks:
  - name: find dirs
    find:
      paths: "{{ my_src }}"
      file_type: directory
      recurse: yes
    register: dirs_list

  - name: make directories
    file:
      name: "{{ item.path.replace(my_src, my_dst) }}"
      state: directory
    with_items: "{{ dirs_list.files }}"

  - name: find files
    find:
      paths: "{{ my_src }}"
      recurse: yes
    register: files_list

  - name: copy files
    copy:
      src: "{{ item.path }}"
      dest: "{{ item.path.replace(my_src, my_dst) }}"
      remote_src: yes
    with_items: "{{ files_list.files }}"