Running an Autohotkey timer script when computer was off at scheduled time

Question

The below script opens a file at a specific time via AHK. If the computer is off at that time, what should be the way to run this script ?

 #Persistent

SetTimer, CheckTime, 5000
Return

CheckTime:
TheTime = %A_Hour%%A_Min%
If (TheTime = 1525) && !(Ran)
{
    Run, C:\Test.txt
    Ran := 1
}