ANSIBLE - getting output from command and assign to ansible replace command - replace

Question

I'm trying to get the value of value.txt which I think works well in ansible, the file value looks exactly like this
[ec2-user#ip-192-168-1-45]$ cat value.txt
this-is-the-value
I would like to assign the output value as the replacement of the "CHANGE_ME" keywords from file.txt
[ec2-user#ip-192-168-1-45]$ cat file.txt
asdasdh kajsdlkjasdlk CHANGE_ME ajsdlkjasdlkjasd
asdkjhakjsd: CHANGE_ME
jasdlkjadsl{
aksldjlkasd: CHANGE_ME
}
I'm using this ansible playbook to combine the 2 process however it seems it doesn't replace the the "CHANGE_ME" when I try to verify the file.txt
- name: check output
hosts: localhost
connection: local
gather_facts: false
tasks:
- name: cat the file
shell: "cat value.txt"
register: cat_value
- debug: var=cat_value.stdout
- name: modify file.txt
replace:
regexp: "{{ cat_value.stdout }}"
replace: "CHANGE_ME"
path: "{{ playbook_dir }}/file.txt"
The OUTPUT goes like this
[ec2-user#ip-192-168-1-45]$ ansible-playbook ansible.yml
[WARNING]: provided hosts list is empty, only localhost is available. Note that the implicit localhost does not match 'all'
PLAY [check output] ******************************************************************************************************************************************************************************
TASK [cat the file] ******************************************************************************************************************************************************************************
changed: [localhost]
TASK [debug] *************************************************************************************************************************************************************************************
ok: [localhost] => {
"cat_value.stdout": "this-is-the-value"
}
TASK [modify file.txt] ***************************************************************************************************************************************************************************
ok: [localhost]
PLAY RECAP ***************************************************************************************************************************************************************************************
localhost : ok=3 changed=1 unreachable=0 failed=0 skipped=0 rescued=0 ignored=0
[ec2-user#ip-192-168-1-45]$ cat file.txt
asdasdh kajsdlkjasdlk CHANGE_ME ajsdlkjasdlkjasd
asdkjhakjsd: CHANGE_ME
jasdlkjadsl{
aksldjlkasd: CHANGE_ME
}