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Please note: (1) this is general information only, not legal advice; and (2) I will provide you with honest information and not necessarily to tell you might be hoping to hear.
Sorry you are dealing with this situation. In general the condo owner is responsible for damage caused by water leaks that occur in the area owned by the condo owner. If the leak occurred from your refrigerator its is likely that you will not be able to get the condo association to accept the claim.
Regardless, this should not affect closing as it is a personal claim against you for the property damage below. You could also tender the claim to your property insurance company to determine whether such incident is covered by your policy.
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