Missing sideboard cards? The full 15-card sideboard runs about $51.89.
Buy sideboard on ManapoolAura of Silence taxes their Opalescence, Parallax Wave, and Decree of Silence while giving you a one-shot answer to an enchantment that resolves, since it sacrifices itself to destroy the target. Ray of Revelation and the existing Seal of Cleansing give extra ways to blow up Opalescence or Parallax Wave before it locks you out, and Tormod's Crypt can strip their graveyard to blunt a Replenish. Wild Mongrel and Werebear are weak since this matchup is about disruption and racing through Armageddon, not combat. Keep Armageddon in since blowing up Ancient Tomb and their manabase before they assemble Replenish is still your best angle.
Pyroblast counters their Stifle, Vision Charm, Counterspell, Foil, Gush, or any other blue spell. It cannot touch Phyrexian Dreadnought, which is colorless, so don't count on it as an answer to that card. Wild Mongrel is a slow clock against a counterspell-dense, removal-light gameplan and isn't fast enough to matter. Pyroclasm has almost nothing to hit, since their only creature is a 12/12 Dreadnought. Naturalize stays in because it has real targets here: Phyrexian Dreadnought is an artifact creature, and Powder Keg is an artifact too. Keep Rishadan Port in to tap down their Islands on Dreadnought and counterspell turns. Wasteland can only destroy nonbasic lands, and they are playing nothing but Islands, so it is just a colorless land in this matchup. Prioritize Swords to Plowshares on the Dreadnought itself.
Pyroclasm's 2 damage wipes their swarm of 1/1 and 2/2 Goblins (Goblin Lackey, Mogg Fanatic, Siege-Gang tokens, Goblin Matron/Ringleader/Warchief) for huge tempo, and the extra copies let you cast it multiple times across a long game. Wild Mongrel is undersized and doesn't block well against a wide Goblin board, so it comes out. Keep Armageddon as a key tool to strand Goblin Warchief/Piledriver beatdown without the mana to keep deploying threats, and prioritize Swords to Plowshares on Siege-Gang Commander or Goblin King to limit their damage output before sweeping.