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I would not assume anything about a car dealer based upon what banks and credit unions do.
A car dealer is not a lender like a bank or credit union.
The dealer just sends your credit app to many lenders. Each lender will do an HP, although all HPs for car loan over several weeks will be scored as only one HP.
For future reference you should never fill out a credit app at a car dealer until after you make a deal and agree to buy a particular car. Best method is to get pre-approved at a credit union before car shopping. You will probably get a better rate and terms at a credit union and you don't have to worry about getting a CFA.
The definitive answer is that your credit bureau will be available to the dealer for 30 days, and they should not need to, and should not, pull it again. This also applies to any bank that they submitted you to at your initial visit - any approvals are good for 30 days. If they are looking for a different or better rate with a different bank/CU, then there will be the new or additional pull at that new institution.