Atlas Builders signed a contract with the City Development Authority to construct a public library in Clayton. The contract stipulates that Atlas must complete the project within $52$ weeks. The general understanding is that the company will be able to work three eight$-$hour shifts per day, six days a week. However, four weeks after starting construction, a local residents' group obtained a court order restricting Atlas Builders from working between $9$ pm and $7$ am and prohibiting work on Saturdays due to excessive noise disrupting a nearby farmer$$s market that takes place every Saturday. As a result, Atlas Builders can no longer meet the deadline. The City Development Authority wants to sue Atlas Builders for not finishing the contract on time. Atlas Builders approach you for legal advice.

Please advise Atlas Builders of their rights under the law of contract.