Planar 'Affinity' and attacks with multiple damage types

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A number of planes in Manual of the Planes have 'affinity' traits, where attacks of one damage type get a +1 to hit and attacks with the opposed damage type deal half damage. For example, fire affinity on Avernus in the Nine Hells:
Manual of the Planes wrote:
Attacks with the fire keyword gain a +1 bonus to the attack roll, and attacks with the cold keyword deal half damage.

How does this relate to attacks that have multiple damage types? For example, if you were to use the swordmage power "Chilling Blow" with a Flaming sword, the power would have both the Cold and Fire keywords, and the damage would be combined Fire and Cold. Would it gain the +1 to hit, deal half damage, or neither or both?
Both.