Dell Inspiron 14 Plus: 14" 2.2K IPS, i7-12700H, 16GB DDR5, 1TB PCIe SSD Expired

There is no difference between 12700H and 13700H architecture wise. The U series, P series and H series Processors from 12th gen and 13th Gen are exactly the same, just a refresh and the performance difference between 12700H and 13700H, especially in these kind of slim 14" chassis, are practically non-existant.
The only change Intel made from 12th to 13th gen, is in the HX series CPUs and that, only to few of the SKUs, mainly the i9 bariants. Here they simply doubled the number of E Cores from 8 to 16. But even the lower end HX series Processors, like i7-13700HX, is also exactly same as the 12800HX, with minor clock speed bump.

I can't comment on your personal preference but technically I can assure you that in this kind of laptop form factor, you won't be missing anything by opting for 12700H over a 13700H.

There is no comparison in the 1st place. Iris Xe is nowhere near to RTX 3050 and if you want better graphics performance or using applications which can take benefit of GPU acceleration, 3050 is way faster. However, if you are planning to gp over $800, try to look for RTX 4050 based laptops as it is a good amount faster than 3050 4GB.