Installing FortiEDR on a personal laptop (private property) seems inappropriate.
The admin of FortiEDR can technically know what program you have installed, what version are they, what specific program you are trying to run.
They can even block certain app, say Chrome if you are not on the latest version, forcing you to update any app.
You cannot uninstall FortiEDR without their password.
IMO you should really demand a company laptop if they insist using FortiEDR.