Is It Safe To Delete A Dell BIOS Update Package (DUP) After Application, But BEFORE System Restart?

We are working on scripts to apply BIOS updates for all of our endpoints. Once a Dell BIOS update package has been executed (we utilize the /s flag), can we safely DELETE the .exe file BEFORE the computer restarts to complete the update? Is the EXE simply a mechanism to deliver the update material to the appropriate partition or location by which the system will check and update upon reboot?

We would like the script to eliminate the executable file before restart so we can determine if the update has been already applied (by virtue of the fact that it is no longer in the list of available updates).