It all depends on where you are in the process as to what if any options you have.
If you are still in the "due-diligence" phase, you can ask for repairs and if it is synthetic stucco, I suggest you ask the seller for a 5 year stucco repair warranty - to get that means the seller will also have to do retrofit work to correct defects that builders always left with the installation.
If this inspection period has passed, you are left with buying the home, or terminating the deal and loosing your earnest money (and other problems as well ) so before you look at that option, I suggest you consult a real estate attorney.
My suggestion when it comes to synthetic stucco, is for 90% of buyers to avoid it unless it has been correctly modified to repel water, and the home is also the slam dunk absolute best option over all other homes, which is very rarely the case.
The evidence is overwhelming that syn stucco homes are harder to resell, and sell for less than comparable non syn stucco homes - that is information I want my buyers to know. A home is a major investment, so my point is why add additional problems to the mix, that are known to cause problems now and in the future.
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