Yes, you must include your bank statement to prove your financial ability to support your mom's super visa stay.
Do remember: For a super visa, the focus is on your finances, not your mom's.
You're already having to tackle the shared expenses/shared house ownership situation, etc. for the super visa application.
It's understandable you have mortgage and other expenses, nonetheless you need to convince IRCC that you are capable of taking care of all her expenses for 2 years. With a CAD 3,000 bank balance, that's somewhat unrealistic. Have you factored in/purchased the medical insurance coverage which you must submit with her super visa application?
IMO:
1. You should continue with your mom's TRV visit.... and you can apply to extend her stay when the 6 months comes up, OR
2. You should apply for her super visa when you have more money that won't be going towards other expenses