I'm pretty sure I have these Hogaak, Arisen Necropolis interactions correct, but I want to check.

Containment Priest does not stop it even if it's cast from the graveyard

You can cast it with convoke and delve through Trinisphere without paying 3 mana

It does not trigger Flayer of the Hatebound even if cast from the graveyard

It does trigger Prized Amalgam if cast from the graveyard

Grafdigger's Cage won't stop Gaak if cast from hand, but it does stop it if cast from the graveyard right because of Cage's second ability. I think the first ability would stop it too, or is it like the Flayer 'entering from the stack, not from the graveyard' thing, so it wouldn't (if there was only first ability, hypothetically)?