With Regenerate, you essentially set up a replacement effect in the form of a "regeneration shield", so to speak, before the Creature would be destroyed, and once that's done, Regenerate replaces the next instance of the destruction of said Creature with: tapping the Creature, removing damage from it, and removing it from combat
Both works feature the character standing in front of a stairwell
If the target creature is an illegal target as Winter's Intervention tries to resolve, it won't resolve and none of its effects will happen
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You can return Prized Amalgam from your graveyard to the battlefield on your end step if another creature entered the battlefield from your graveyard earlier in the turn