Start a Robotic Task by whoever started the process

We have an application where business users can start a process using a Start Process Smart Service from the application site. The process model includes an Execute Robotic Task node, which is currently configured to “Run as whoever designed this process model”.

This configuration is required because the process is initiated by basic business users whose usernames are not available in the Appian RPA users list. As a result, setting the node to “Run as whoever started the process” causes the robotic task execution to fail.

Is there any supported way to configure the Execute Robotic Task node to run as “whoever started the process” by changing any other configuration in robotic task/RPA?

Thank you in advance.