Why don’t you resubmit your offer at lower price and whatever you deducted from original offer price..add to your “offer” for the appliances.

As far as I know Bank only looks at the offers the seller presents to them.

Of course you all of sudden risk bank asking for more money to approve.

Also just because you “offered” to buy appliances nothing says you have to actually go through with it after your offer is submitted to the bank. Two can play at un-ethical game.