Self-adjusting clocks are a clockmaker’s dream. Nowadays, we have clocks set by the Internet and via satellite. We have three such clocks: two of them stand-alone clocks; one of them our computer.
Photos of those clocks taken within a minute or two of each other:
Three clocks, “automatically” set; three times.
I checked the time zone setting on the computer and had it update the time. No change.