Magic Duels

Chandra's deck is more creature-based than it is a burn deck. I went through all five duels without getting more than 9 damage to the dome.

Once Chandra's campaign is done, if you haven't gotten this, you can go back to the Kaladesh Artificers with your upgraded deck. Even then, my army of creatures and I spent several turns waiting for burn cards. (Edit: it appears you can't take the upgraded deck back. It's still probably best to do on the first duel so that you can dominate the battlefield and wait for burn cards. Thanks,
metabolicBatman)

The achievement unlocks as soon as you deal the tenth point of damage directly to your opponent.

I did this on the Foundry Security opponent. This will require patience as Chandra has a very limited number of DD to opponent cards. My general strategy was to ground stall, save my creature removal (Fiery Impulse, Manic Vandal) for key artifact creatures (Crumbling Colossus, Chief of the Foundry, Steel Overseer) and attacking en-masse when necessary to force the AI to block and kill off his creatures. I hit the AI with Flames of the Firebrand and Chandra's Outrage throughout the course of the game and finished him off with nine cards left in my library with Ravaging Blaze (damaging the AI through the Spell Mastery mechanic of the card).