The moment I see Newegg Shuffle, I am expecting a very very limited supply. I don't think it is very difficult for Nvidia to launch a USD 250 MSRP card, with a drop of supply, then raise prices on subsequent "improvement in supply". The chip is not new because it is derived from the RTX 3060. From my observations, RTX 3060's supply is not that bad, just that the prices are outrageous. So I actually don't expect supply of RTX 3050 to be worst, though I fully expected the price to be close to the RTX 3060.
Where I stay, there are very limited RTX 3050 on sale, but despite the MSRP of USD 250, prices can be as much as USD 550 from a brick and mortar store. I suspect prices will still continue to trend upwards for the significantly marked up prices now, if the demand is strong.