Of course, that depends on the AIB in question, but if previous launches are anything to go by, there have been occasions where certain retailers have reduced the price of the card to try and entice buyers to use them. The RTX 4070 Super saw a couple of retailers reduce the MSRP by around 10% a day or so after the launch, and the same may be the case for the RX 7600 XT.
Of course, waiting a day or two to find out whether the already budget card will be reduced further runs the risk of seeing stock sell out - so it's up to you if you want the take the risk.