Tu n'es pas obligé de choisir quelque chose:
609.7a If an effect requires a player to choose a source of damage, he or she may choose a
permanent; a spell on the stack (including a permanent spell); any object referred to by an object
on the stack, by a replacement or prevention effect that’s waiting to apply, or by a delayed
triggered ability that’s waiting to trigger (even if that object is no longer in the zone it used to be
in); or, for certain casual variant games, a face-up card in the command zone. A source doesn’t
need to be capable of dealing damage to be a legal choice. The source is chosen when the effect
is created. If the player chooses a permanent, the effect will apply to the next damage dealt by
that permanent, regardless of whether it’s combat damage or damage dealt as the result of a
spell or ability. If the player chooses a permanent spell, the effect will apply to any damage dealt
by that spell and any damage dealt by the permanent that spell becomes when it resolves.
Comme le choix de la source n'est pas ciblé, il est effectué à la résolution de la capacité, ce qui veut dire que l'action d'activer la deuxième capa de Burrenton Forge-Tender ne peut pas être illégale et donc que tu peux l'effectuer quelle que soit la situation.