There are two analog clocks with hour, minute and second hands. One of them works correctly and the other one is broken, moving 20% faster. Both of them are set to 12:00 and observed until their second hands are at the same angle and the minute hand of the correct clock is at the same angle with the hour hand of the broken clock.
What is the time when this first happens after they are set?
Enter your answer in 12-hour format without seconds, like 01:23.
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