How do I fix 1903-a3 peep that moves sideways?

[Szumi]

I've had a Remington 1903-a3 in the safe for over a decade and just recently got it out for the first time. It shot a 2" H x 4" W 10 shot group off of bags at 100 yards using Federal 150g softpoint ammo.

I notice the peep slider has a lot of side to side play. How do I fix that? I've got more questions but I'm going to look around this wonderful site to see if I can find answers.

Thanks,

Szumi

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