She has not given you any assurance or any 'date' that anyone will actually show up to look at the problem.
She has already minimized the issue, and stated..... "hey, it's a basement, just get another humidifier...."
NO mention of treatment or mold removal.
They are, essentially, refusing to address your concerns.
That is not acceptable.
Do not delay....
It really doesn't matter what day of the month it is....
Doesn't matter if it is the first, the 31st, whatever....
What matters is that you are able to move ASAP.
I do not think that you will get moved into your new home overnight on the 31st... so just count on paying Nov. rent... You can be long gone before the landlord has a chance to get his ducks in a row.
And, remember, from your Landlord's side, it will also cost him a small fortune to sue you! And, why would he risk that if he knows that he can't win because of the mold problem.
Let's just say he offers to have professional mold removal.... HE STILL WOULD OWE YOU FOR YOUR ALTERNATE LIVING ARRANGMENTS (HOTEL OR APARTMENT) UNTIL THE JOB IS COMPLETE, OR HE CAN'T COLLECT RENT.
So, technically, if you find it necessary to move because of the mold issue, then suing him back for your rent and living expenses during this time (starting TODAY) is also a third possible lawsuit or countersuit against him.
I really don't think he will want to 'go there'.
He would have to be either very crazy or very stupid or both.
He doesn't have a leg to stand on.
I really doubt that forcing somebody to pay a full 12 months notice is even legal.
And, no matter what you signed, a waiver will never hold up.
One can not sign away their legal rights.
One can not give another person permission to break State or Local laws.
I think your landlord knows this, and they just don't care.
PS: You might possibly find a service that will provide a 'free estimate' or an initial free inspection.... CALL A PROFESSIONAL OUT THERE, TODAY.... YES, they can usually come within 24 - 48 hours. Call a service that offers 'emergency water restoration'. You really need to do this to have outside verication of the mold problem. I would not hold my breath waiting for your landlord to call somebody.
November's rent and a possible service charge for an inspection are a small price to pay to document your situation and get moved out.
I hope you are able to speak with this lawyer and get some good advice soon!