<human>: Can you condense the text into three sentences or less?

Hey everyone! I might be giving too many details, but I'd rather give you too much than not enough!

This is a new issue, one I've noticed in the last couple weeks:

My dog Zuley (2.5 y/o, F, German Shepherd/Husky mix) has acquired some weird qualities to her coat. She has been in the process of blowing her coat (her coat is very GSD-like) and I've been brushing her out about twice a week. I've never had an issue of needing to bathe her, the last time was probably January. 

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Zuley's coat is shiny, as it has always been, but when I pet her it feels overly-greasy and even after a few pets my hand will be coated in a dusty/slightly-greasy white film. What gives?

I'm thinking it *might* be diet change. We usually rotate between grain-free Fromm and Zignature. Due to slow work (I'm a freelancer), I've had to "downgrade" to grain-inclusive Fromm (she was on that a month ago) and a couple weeks ago I grabbed a bag of grain-inclusive Pure Balance from HellMart (I know, I know...). My other dog is doing fine and doesn't have the same coat issues.

Anyone know what could be up? She's getting her vaccs done on Monday but I have a feeling the vet won't be concerned.
<bot>: Dog recently began to have a greasy/filmy coat. Maybe a dietary issue? Have you experienced this? What gives?