The Athena's Combined Ticket appears to be available for purchase for dates in June as well. The cost is 30 Euros per ticket, which is consistent with the Category A pricing in the Greek Culture Ministry's announcement from December 2023.
This is all very confusing. I still have not seen a definitive answer of how best to handle visiting non-Acropolis sites before the day of your Acropolis site visit. My wife and I will be in Athens in June. We want to visit the Acropolis on Day 2 of our time there. But we want to visit other non-Acropolis sites (Roman agora, Hadrian's library) on Day 1 of our trip. If we buy a ticket for the date of our Day 2, and specify the time we will arrive at the Acropolis, I am confident we will get into the Acropolis with the ticket, but it seems we cannot visit any of the other sites on Day 1. If we buy a ticket for the date of our Day 1, and specify the time that we will arrive at the Acropolis on Day 2, I am confident that we will be able to visit non-Acropolis sites on Day 1 (but do we have to visit the first one during the time slot chosen?), but I am not confident that the ticket will be honored for the time slot we will visit the Acropolis on Day 2.
I've seen multiple posts asking this question (how do I visit non-Acropolis sites the day before I visit the Acropolis at the time slot specified), and have never seen a clear answer.
Add to it the information about there being no longer any single entry tickets for more than one site as of April 1, 2024, which does not seem to be true of tickets offered on the official website, and this all seems very, very poorly explained to the public.