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If you are not able to use the space that you are paying rent for then you are entitled to receive a refund proportionate to the amount of space you cannot use. In other words, if you can only use 20% of your unit then you really only owe 20% of the rent.
I suggest that you send a letter to the landlord demanding that you get reimbursed for any rent that you paid and that going forward your rent is reduced by this same amount until this space is completed.
You are very welcome. I am glad I could be of assistance.