Car seat question

I am 32 weeks pregnant and prepping hospital bags, I have written on my list don't forget the carseat! Which has made me think about the fact the carseat I have is just a buckle in one, not an isofix. It's got me wondering, how will the hospital go about it and is it something they'll be bothered by?
I do not drive nor does my partner so we didn't see the point of buying an isofix fancy car seat but I'm not sure how the hospital deals with them. It's fully safety tested and it's an i-size, R129 certified carseat and came as part of a travel system.
I suppose my question is will the hospital have a problem sending me home with my baby in that carseat?
Very random and probably a very stupid question but I'm now sat here over thinking this 😂😅
Picture for reference :)

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