Using "given that..." to cast doubt on the phrase that follows?
Solution 1:
Given (that) is used just to introduce a concept with the aim of taking it into consideration, whatever the context is and whatever conclusion you may draw:
If you say given that something is the case, you mean taking that fact into account.
- Usually, I am sensible with money, as I have to be, given that I don't earn that much.
(Collins Dictionary)
Solution 2:
I would answer the question as a radiologist. 'Given that the x-ray is misexposed' (when considered that the x-ray is not well exposed), there is no pneumonia (what we see might be a shadow / an artifact caused by improper dosing, not pneumonia).