You started by saying that it was both your intent that she come here as a Tourist stay and adjust, so not sure many people would suggest you lie.
Presumably your wife just said she was visiting when asked about the purpose of her visit?
Usually this question does not arise at an adjustment interview.
The K3 is effectively dead, the alternate option would be CR1.
She is legally married in the US, what the Philippines think is not relevant for adjustment purposes.
