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Okay, the Vampiress is strong, but the DM has ways to make her disadvantages become a nuisance to her, to balance it.
It's the Superman problem.
It's hard to write a story about Superman, because he's invulnerable and unbeatable. So in order for there to be any threat, you have to come up with ways to take away his powers. You have to make him NOT Superman. Yes the DM could spend all their energy making sure that each and every encounter is crafted in such a way that it nullifies the Vampire's powers, but then what's the point in having a Vampire in the first place? Why have this massive source of imbalance in the game at all.
3/hp a turn is a HUGE advantage for a level 3 campaign, and there aren't any weaknesses built into that. There is no "damage from fire or radiant is doubled, and cannot be regenerated in this manner." It's just there, making the player essentially unkillable while the rest of us mere mortals bleed and sweat and die around them.