The Heron Moon

You cast the copy of Emrakul, the Promised End as The Heron Moon’s last ability resolves. You do so as part of the resolution of the ability. You can’t wait to cast it later in the turn. Timing restrictions based on the card’s types are ignored.

Official text for Colossal Dreadmaw can be found using the Gatherer card database at Gatherer.Wizards.com.

If a player is instructed to exile cards from their library “until” a certain event occurs, that player exiles those cards one at a time. If that player is an opponent, The Heron Moon’s ability will trigger that many times.

If you cast a spell “without paying its mana cost,” you can’t choose to cast it for any alternative costs. You can, however, pay additional costs. If the spell has any mandatory additional costs, those must be paid to cast the spell.

Official text for Emrakul, the Promised End can be found using the Gatherer card database at Gatherer.Wizards.com.

For many playtest cards, you’ll need to make a generous assumption that basic game rules would be updated to allow them to work. The Mystery Booster 2 Playtest Card Notes section (reproduced here in individual Gatherer rulings) provides guidance for fitting these cards into the existing rules structure.

The third ability only triggers once for each instance where cards an opponent owns are put into exile, no matter how many cards were exiled at the same time.

If you choose to cast a card as Colossal Dreadmaw, while on the stack, treat that spell as though it were Colossal Dreadmaw (including the mana cost to cast it). After it resolves, treat the permanent it becomes as though it were Colossal Dreadmaw for as long as it remains on the battlefield. Once it leaves the battlefield, the card goes back to its normal self.