Ok. Got it. Thanks for the clarification.
In this situation, essentially what is happening is that they are giving you notice that you may either vacate the premises, or you will owe additional rent. This sort of notice under state law is a 7 day notice. Thus, the notice period they are providing you in the contract
is the same amount of time as you are entitled to in this situation under State Law.
If you do not leave the premises, you will be subject to eviction proceedings. This would mean that you would become liable for the prorated amount of the rent for that month anyway upon the initiation of the eviction proceedings.
Of course, you will not be evicted immediately and will be able to remain in possession
of the apartment until the eviction is granted by the court, which can take several days to a few weeks depending on how busy the local court is.
Unfortunately, this means your best option without incurring a large amount of liability is to vacate the apartment. Otherwise, either way, you are likely going to have to pay the higher monthly rent.
Sorry I don't have better news for you.