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It is easy to spot the person who is new to working across time zones. They will mention local time only. They leave it to the reader to translate and calculate the equivalent local time.
The experienced collaborator will take the time to mention both time zones. This is not difficult when you have tools available. In this day and age, there is no excuse. One way is to set up multiple clocks that look like this:
Yes, there is a sequence to arranging the clocks!
In addition there are web sites that will help you calculate the equivalent time in a different time zone.