Hearthpwn

Quote from LxVaiN >>

I dont think its possible to play both quests. I think i tried it with the quests we have already and you can just have one quest active. I doubt that it will be different with this one

 You can't have multiple quests active at the same time but you can activate one after the other is completed

Priest and Mage can run the 3 quests without too much deck building trouble, but you're gonna have to make some serious choices on the mulligan phase or be okay with 3 dead cards in your opening hand.

Warlock probably can run the 3 quests as well if you can fit enough discard and self damage into your deck.

And I think there is a possibility with hunter as well.

If it's just 2 quests, most classes can do it, just don't pick 2 quests that actively work against each other on multiple levels, like Fire Plume's Heart + Hack the System or Command the Elements + Unite the Murlocs