How can I make Adobe Media Encoder use Adobe Premiere file names by default?

I export edited footage of sports games that are separated into multiple rounds. I save them as GAME 1, GAME 2, etc. and name each Premiere file accordingly. But in AME, I have to manually add and name each file from _DSC1234 to the corresponding GAME # one at a time so as to prevent duplication or incorrect naming, and it is a giant pain. Is there a way to tell AME to simply use the source file name for each file I import?