6hp/tick until the level 39 pets and then 30 hp/tick starting at that level definitely feels like what P99 is using, and that's probably how it was in Classic too. Pets were getting back to max health very quickly at the Level 4 tier, but then would noticeably take longer to regen to full health at each new tier, until level 39 when they would suddenly have their health bar moving MUCH faster. Water pets were faster than that base amount though!
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