kill Alpha: reset a day..
timeline: morning wake up at barrack, next day war

kill Omega: reset 2 days..
timeline: morning wake up to see general , next day barrack, next day war

'if'
if Omega is dead on the present day which he met the general, the night Cage kill Omega never happened yet
it should be that Omega reset the day before it got killed, and go other place

it cud be that Cage will get Omega vision, and prevent the war by killing Omega's boss hahah

just my 2 cents

but well its better to end this way: Cage dies .. all the troops still go to war but find mimics all dead, found out about J troops sacrifice and concluded the battle won with sacrifice