Refer to GC 1..3.8
The GCs allow the owner to reject all bids, which they probably should do if they don’t have the funds to proceed.
GC 13.3 Unavoidable delay cites Abnormal Weather as something beyond the reasonable control of the Contractor.
Where there is only one compliant bid, the issue of violating conditions of Contract A with other bidders does not exist. The GCs allow the owner to reject all bids, which they probably should do if they don’t have the funds to proceed. Then if the municipal bylaws permit negotiation without competition, the Owner can proceed to adjust the design and requirements to negotiate a price both can live with.