$ cat inventory

[dbservers]
DB1 ansible_host=10.252.22.163

[webservers]
WS1 ansible_host=10.252.22.163

[common]
CS1 ansible_host=10.252.22.163

$ cat pb.yml

- name: db and web 
  hosts:
    - dbservers
    - webservers 
  tasks:
    - name: Run task
      debug:
        msg: 'Running on all dbservers and webserver'

$ cat common.yml

- name: common task should run on common host only(that too only once)
  hosts:
    - common 
  tasks:
    - name: Run common task
      debug:
        msg: 'Running common task'

$ cat install.yml

- import_playbook: "pb.yml"

- import_playbook: "common.yml"

Is it possible to run common play (only once) on CS1 host, every time any of below commands are run?

> ansible-playbook -i inventory install.yml --limit 'DB1'
> ansible-playbook -i inventory install.yml --limit 'WS1'