Adding a custom "Escalation" button to open tickets

Hello, I would like to request assistance with adding a button to existing open tickets.

The button should enable customers to manually escalate the ticket by sending an email to a certain group of people.

I have successfully added the custom button to the request_page and styled it as desired. However, I require guidance on how to proceed with the action itself.

Should I create a custom input field that is hidden from the customer and has its value changed once the "Escalate" button is pressed?