Tezzeret's zero ability won't protect him on an empty board, but reasonable cards to get a free +1/+1 counter and an untap on turn three include Diversion Unit, Demon Wall, Piggy Bank, Tough Cookie, Twitching Doll, Zookeeper Mechan, Gleaming Geardrake, and Mendicant Core, Guidelight
To that I will respond that at 4 players the encounter deck recurs very quickly, which can result in a constant flow of 3 hp enemies every round and if you are on the last scenarios of a campaign you will most probably be facing a boss (sometimes even multiple bosses with 20+ HP!) and maybe, only maybe, also one of those damn enemies that come back from the grave (I mean victory display)
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Negative Ability: His replacement weakness, "Dreams of the Deep" skill, reduces skill value by two when applied to a skill test, and returns to his hand if he doesn't pass the test anyway
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