The patched version of Battlefront II that supports multiplayer over Galaxy does not include the original icon. For convenience (so that you don't need to manually rollback to the older version to grab the exe), I have extracted the icons from the original executable and provided them for download here.
Battlefront II.ico contains all the original icons from the original executable. Setting a shortcut icon to use this icon should work the same way as setting it to use the original .exe.
Battlefront II_256.ico and Battlefront II_512.ico are the same as Battlefront II.ico, except the contain versions of the highest resolution original resized using integer scaling to multiple higher resolutions, with the highest resolution for each being 256x256 and 512x512, respectively. They are provided so that the icons are nice and big if your desktop is set to Large Icons or File Explorer is set to Extra-Large Icons.
Battlefront II Remastered.ico is extracted from the installer for Battlefront II Remastered. Battlefront II Remastered_256.ico is the same icon, but upscaled to 256x256 using waifu2x.