This is a very old product that doesn't have support for Windows 10. Because of that, you will have to run a virtualized version of Windows XP using a dedicated application. This is the only possibility when apps refuse to work on a new operating system that doesn't support them. Virtualbox is pretty easy to install and configure. Of course, your motherboard needs to support virtualization (check in BIOS).
Download and install the VirtualBox app, then use the following guide to set it up for your needs. Once Windows XP is running, enable drag and drop from the menu bar and transfer the MGI PhotoSuite SE software.