he reset again but this time omega is dead. hence u can hear from the news some sort of event happen in France and China/Russia army marching in without issues.
Cage will still be deployed to the battlefield as they still need to "clear" the mimic regardless of omega is dead or not. the mimic could be dead or not moving at this time though
he will be deployed to the battlefield as a Major (or maybe some similar rank. definitely not private) since he did not pissed off brigham
he is not a war hero since no one know he killed omega, no even rita
the UDF did not win the war..... yet. the mimic is still there to be cleared out but they are pretty harmless now

IMHO,
he will lose the ability to reset, since iinm the reset ability belongs to the omega. the alpha/cage serve as an active node. Since the master "backup" is not there, there will be no backup data to be restored