Do tickets to the Archeology Museum have specific entry dates and times?
Did you try the ticket page to see if it asks for a date and time? https://muze.gov.tr/urun-ekle?catalogNo=WEB-IAR01-87-009 I didn't get very far, but on one of the early pages it says "The validity period of the purchased e-tickets is 90 days from the date of purchase."
If you plan to get a museum pass I don't believe you need a time slot for any of the museums as long as you use it within the prescribed number of valid days.
I just purchased my tickets and there was not a date or time option. On the E-ticket it does state the validity period is 90 days from the date of purchase (the purchase date and time are at the top of the ticket).