Kinetic client - disable the "Open Kinetic in Browser" option

We are currently in the process of upgrading using a phased approach. The intent is to use the Modern look with Kinetic off in the first phase. In order to do this I have been able to disable Kinetic UI and Snooze messages thanks to the information on this site. I am now at the point where if a user launches the client (On-Prem) with the Kinetic option on Login, on the Home landing page the user will be able to launch “Open Kinetic in Browser” option from the user icon. Is there a way to disable or grey out that option?