Post survey response values to Survey Sessions table without survey link

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My organization is looking to integrate our ticket satisfaction survey experience into our Ticket Detail page.

After a customer logs into their account page that displays all of their tickets, clicking a ticket here opens the Ticket Detail page which displays the message thread and some ticket data.

Currently when one of our agent sets a customer's ticket to solved they are shortly sent an invitation to a survey. Instead, we would like this button to be embedded on the Ticket Detail page once it is set to solved, so that it is available to the customer when reading their answer - this also ensures that they have seen their answer before the option to be surveyed. But when clicking the survey button, rather than refreshing or opening a new page when the button is clicked, we want to expand a section on the current page to show