If I can bring a check to the closing table, what scenario exactly is the bank, if they still believe the asset (house) will appreciate and still be good collateral, trying to avoid that having zero equity would cause  if the problem of closing costs being covered is solved?

You can do all that, but if surface water runs into the house (bad design) then you're fighting a losing battle.If it is, I'd ask about exterior drainage, like a French drain around the perimeter or fixing the grade.  

Wow, that table looks a lot better in preview than it does when rendered!

The new furniture will be mid century modern furniture, including a sectional sofa, TV stand, armed chair and a coffee table. 

I would be happy to host a virtual meet up for Greater Montreal Area folks - English and French welcome.My brother and I have each done Single Family homes for the last few years but just acquired our first multiplex together this week.  

The lender needs to know way before the closing table that you have enough to purchase the amount in your bank account (including Closing Costs), another issue that they'll would have even if you could do that is projecting DTI due to that high balance as soon as you close on your credit.

Just get all expectations including yours on the table so everybody stays happy. 

I’m considering building a wall in this room with French doors in it and adding a closet to make it a 4th bedroom.

Those are just table stakes to get in the game. 

I've also had a line of credit put on the table as an option for an investment property.