This week's TV: Keri Russell's new series, A.I. creepiness in 'Mrs. Davis,' and King Charles's big day approaches

New series premiering this week include “The Diplomat” with Keri Russell and “Mrs. Davis” with Betty Gilpin. Meanwhile, plans are taking shape for King Charles’s May 6 coronation, but viewers here will need to set their alarms for 6 a.m. if they plan to watch.

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