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

[Allen Humphrey]

Welcome.

Just to be clear.... is just the small peep slider moving side to side or the whole assemby that has the windage screw going thru it? Is the windage screw moving left and right too? Or is the entire rear sight assembly moving Left and Right on the receiver dovetail?

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[Szumi]

The only thing that has slop in it is the peep.