The ALPG and ALDMG don't address which rules to use outside of setting minimums and outlining the "+1 rule." So we turn to the ALFAQ (version 7.1 as of this writing) which contains this relevant guidance on p.2:
What Rules Do I Use?
As a D&D Adventurers League Dungeon Master, you are empowered to adjudicate the rules as presented by the official materials (PHB, DMG, MM, etc.).
So it has to be "the official rules," and PHB, DMG, MM are examples of such rules.
The next page makes a bit of an argument against, in that it lists twenty-four separate sources and doesn't list D&D Beyond, but arguments from omission are inherently weak, in my opinion.
That said, since the differences between D&D Beyond and the PHB, for instance, haven't been issued as errata you're "safe" going with the legacy wording.
Proceed with clarity.
In a few months we should be seeing a set of AL documents in the v.8 form which one hopes will make some mention of D&D Beyond. Until then just be clear with your players/GMs what you're using. Either "I don't see D&D Beyond the list so I'll stick with listed sources" or "it's an official WotC product which is what they say to use" certainly strike me as legitimate positions. As usual: what is important here is probably not so much arriving at a "correct" conclusion as is arriving at a shared conclusion.