When is the next time Jack' clock will be exactly on time?

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Jack's antique cuckoo clock loses 9 minutes every hour, leading to a significant time discrepancy. Despite this, the clock is observed to be accurate at noon on a Tuesday. The next instance when the clock will be exactly on time again is calculated to be at 4 AM the following Tuesday, which is 80 hours later. This calculation indicates that the clock will align correctly again after a total of 6 days and 16 hours, with some participants estimating it could also be around 8 PM on Friday.
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Jack has an antique cuckoo clock. It's a lovely clock, but it runs too slowly; it loses 9 minutes of time every hour. Sam visits his friend Jack one day, and notices that the cuckoo clock is exactly on time at noon on Tuesday.
When is the next time Jack' clock will be exactly on time?
 
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4 am the following tuesday (6 days, 16 hours later)
 
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in 80 hours from noon tuesday, they should agree

I suppose that is some time friday, 8 PM
 

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