The unlock effect takes place before the end of combat.
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Bond with the Mountain
Strike: dodge, with an optional press.
Strike: combat ends. Unlock both combatants.
Strike: combat ends. Unlock this vampire.
Rulings
The vampires still unlock if an effect continues the combat or begins a new combat.
When played, a multi-Disciplines card counts as requiring the Discipline(s) being used. In the hand, library, or ash heap, the card is considered to require any and/or all Disciplines listed on it.
The optional press can only be used during the current round.