I developed a script to ask customer for complain ID and integrate it with database to show complain history on another web page contain DB of the company . when an old customer call and forgot complain id, The agent ask him other related questions. I want these data entered in the web page to update automatically in the call variables on finesse
You would need to modify that external web server to send an API request to Finesse, upon changing the value in that page. So, unless you control that web server, which I'm guessing you don't, since you seem like a Collaboration Engineer, then you'll have to work with your Web Development team to get that server feature added.