Start public agent in widget without selection of the preferred agent

When the assistant is opened via your widget, people have to select our EA-assistent and click on it. I would like to prevent this extra click. I am aware that there is an option to "Force a default AI agent for all chats". However, I don't want to force my colleagues to be forced to use this EA-assistent, it should only be forced for the public user on this public website, not for the logged-in members. Is that possible?