Your coop is protecting their investment and most banks do not allow this practice ( if they are aware about ) and in your case the building insists on this approval.
Typically you as a purchaser will get a better rate by purchasing as primary residence vs. investment. Speak to your bank again, they may adjust your terms, higher rate, some sort of a penalty. Explain your situation in full.
As for your building requirements, I adivse not to wonder and instead get a copy of your house rules and review them.
Good luck to you.... more