Think you have to beat the bee, maybe the other frog too. After that there are prompts to unlock eternal dice
Chirp87
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You know the random event where you get to pick a dice or take the heal to full, +6 hp, take -15 damage. I usually take the second. Also, I knew what dice I wanted. Once I had my set, I'd never take the add a dice option over +3 hp reward. Oh, also, never (as much as you can anyway) end a fight with less than full hp. Keeps you from getting greater max hp.
That's an eternal block dice. They are unlockable and some of my faves. They all start really weak, so they'll only be worth it if you have good purple dice or make it into a grow dice (which I recommend). Play it once, it stays out, it grows by 1 every turn. Pair it with a terrain dice to start strong and watch it get better over time.
Eyyo. I've been doing the math comparing grow eternal block dice vs. lucky 1 grow heavy block dice. Since heavy dice have a cooldown for 1 turn after they are removed from play, eventually eternal dice win out. However, an eternal dice can only roll as high as 3. Even if it grows, you may be dead before it gets strong enough to defend you. Heavy dice can start stronger, but they drop off over time.