Your firmware's boot menu will need options for both OSs otherwise there is no guarantee you will be able to boot anything other than Windows, which does create a load option when you install it (as it is supposed to).Thanks @vulgo.
So you're saying to do a backup of the EFI, format the Windows partition, install Windows and select that partition to install and after the install restore the EFI? (it's the same disk)
BTW, EasyUEFI is no longer free.