The Synchro Festival is now live in Master Duel, running until June 29th (time zones applying).

Furthermore, these missions have been added, and they can be completed in the Synchro Festival or the Legend Anthology: Academy event:
Destroy a card in Festival 10 times (150 Gems)
Duel in Festival 20 times (200 Gems)
Synchro Summon a monster in Festival 30 times (250 Gems)

For a total of 600 Gems.