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Explain what you mean when you say that you receive negative equity please.
Do you have possession of the new car or not yet!
Where did you hear of the 30 day grace period?
I am aware of all those laws in Alberta but I am not aware of any 30 day grace period.
Generally there is no grace period for changing your mind about a vehicle purchase and even when there is a cooling off period it is usually 10 days and would never apply once the goods have been delivered.
But in this case that law is not what matters.
What matters is that you didn't get what you paid for, you were materially mis-represented and then unduly pressured and these are all grounds for setting aside a contract.
It is not as if you are just changing your mind. It is that they breached their contract with you.
So I suggest that you take this approach with the very firmly and if they don't agree that your next step be to have a lawyer send them a letter asserting your rights and stating that you are happy to have a court decide.