I don’t think you should have any issue whatsoever. Your intuition is correct that magnetism and electric currents are related and can affect one another (example, moving a magnetic field circularly can generate an electric current, or conversely flowing electricity through circularly orient wires can generate a magnetic field). However, a stationary magnet adjacent to linear wires carrying electricity will not have a noticeable effect. It may slightly bias the electrons to flow towards one side of the wire, but this will not be noticeable.
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