Social constructs are shared illusions that only work when we decide to adhere to them.
To my knowledge, it has not been tried.
I'd expect "the President" did not literally decide or not decide to classify this; it was probably driven by rules.
What's in the classified briefings isn't really the question; it's what's in the unclassified briefings and actions that are the question. That classified briefings are taking place is to be expected, as it will certainly be impacting classified things, along with all the other "pretty much everything" it will be impacting. I'm sure all the other countries are having classified briefings as well.
I assure you that these are hardly the only meetings taking place.
Does the President have the legal authority to just say "this thing is classified", and legally it is so?