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Try an external 5v source, with common ground, for the servo. If it does not solve the issue or you are already using an external power source for it you can try a 220 uf capacitor between the ground and +5v of the servo to filter current peaks.
If you are using Marlin look for an option that turns off the servo when not in use. That helps to avoid false movemntes due to interferences. Another thing to try is to remove the 27th pin to avoid been connected to the flat cable of the display and transfer interferences. And there are some ferrite cores you can loop the signal wire around that can filter those interferences too.
I needed to ground my entire printer due to electrostatic energy generated by the belts....