Conventional loan on house w/o central AC sale price 45k

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Hi I’m about to sign into escrow on a bank owned foreclosure with my first private lender partner who will fund the purchase price @ $15.2k. We plan to rehab and sell looking nice for $45k or more. I don’t want to go to the expense to add central A/C or a furnace. If I were to put a window AC or two in and a couple wall propane heaters on the walls, would a bank do a conventional loan for a regular buyer on something below $50,000 that doesn’t have central heating and cooling? Any help is appreciated.