You’re not doing a UOA at this point, unless you saved the old oil in a spotlessly clean container. Sampling the new oil won’t tell you anything.
And you’re way past the point of a few PPM of iron in the oil telling you a problem is approaching. The problem has arrived.
UOA is mainly useful for trends, where you can watch a series of data points over time. For example if you’re doing it regularly and your iron is 11, 13, 10, 37 then that’s a wake up call. And it’s useful for early identification of things like leaking coolant, bad air filtration, PCV failure and so on. I do it myself on a couple of vehicles where I have specific concerns, but not on the average gas engine light duty vehicle. NAPA has the best price I’ve found on UOA service. Less than $15 IIRC. Plus postage to ship the sample.