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Welcome to JA.
I am sorry to hear about your situation.
Are you and the property based in England or Wales?
Thanks for the further information.
Under the Landlord and Tenants Act, the landlord/agent are under a duty to carry out repairs to the property. Further it is likly this obligation is within the contract too. Therefore failure to undertake the repairs in question can be deemed a breach of contract and contravention of the law.
Therefore i suggest you undertake the following steps.
However before i proceed do you understand what i have stated so far?
I suggest you write to the agency/landlord, reminding them of your rights under the law and contract. Inform them if they do not take steps to fix the issues you will file a complaint with the local council.
Please note the local council is independent and have a dept. that can step in to resolve this matter and in certain circumstances they have the power to fine the landlord.
I hope i have clarified the position, if not please let me know.
Yes it will be Cambridge City Council.
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Thanks and stay safe