If all goes well, Panathinaikos will compete either in Europa or in the Conference League next year. The greens will get the Europa League ticket if they beat Aris in the Cup final and win the cup.
Otherwise, and if they finish in the first 4 places of the championship, then they will compete in the Conference. As far as the Champions League is concerned, Trefoil lost the championship so they cannot get the first place and the specific ticket.
All of the above leads us to the conclusion where next year Panathinaikos will compete on Cosmote TV or ANT1. More specifically, Cosmote TV got the television rights for all European events. From now on, MEGA will show a Champions League game (Tuesday or Wednesday) while ANT1 is back and will show a match every Thursday (Europa League or Conference). This means that we may see Panathinaikos on Cosmote TV or ANT1, while we will definitely not see it on MEGA.