You should not be able to move the front sight without a tool. If you can move it by hand, it is too loose and will eventually move while firing or come completly out of the base with the risk of loss. I do not recommend staking the sight as that will mar the gun, but a good gunsmith can remove the front sight, lightly peen the front sight base to tighten up the dovetail slot without marring the finish, re-install the front sight in alignment with the mark on the base, and that should resolve your problem.
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If it's made after 1918...it's a reproduction
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