Gucci Dog Bag

I already have the following bag and I carry it almost everyday:

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But I have been looking at bags to carry my dog around, and found one that I really like from Gucci:

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I would just get a Louis Vuitton bag, but they don't have a size or shape that really works for my dog. My questions is, would it look super tacky to carry both of these around at the same time? I usually wear the LV as a messenger bag, and would probably wear this dog bag just on my shoulder. What do people think about combining these patterns?