Yes there are two ways that work for me to accomplish this goal.
1. Mantras as you say, did you know that with just your intent you can wake up at anytime you like. It doesn't work every time but one time I was able to say that I wanted to wake up at exactly 04:00 and I did! The next night I said I wanted to wake up 04:03 but instead I woke up in the morning frustrated because of no attempt, so I stoped using that. It would be cool though if you could say
"I want to wake up in REM" and BAM free DEILD attempt, however I don't have the patience to try that
2. By drinking two big glasses of water before I go to bed I somehow get more aware of my micro awakenings which are close to or after REM. Although it might be on REM as well because I use these awakenings to DEILD so I might be wrong, it might not be micro awakenings at all, it might be random! Which is great because then I can at least hit REM.
And well my specific time is 01:15 because that's when my second REM period end. It's a good way to keep track of your REM periods though.
I hope this was what you were looking for

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