@Concerned, I think you've gone a bit over your head on this one. I suggest instead of juggling around PSUs you should probably downgrade your GPU to slot-powered GTX1650 (non-super,non-Ti, just a regular one), before you kill your PC.
If it's an Inspiron 3670, it has a decent built-in 290W Power supply (I believe it's one of the 80+Gold FSP, or something like that ), which is more than enough to drive a stock i7-8700(non-K) paired with GTX1650S.
The ZERO-th option, is simply getting a Dell D365EM power supply and forget about all the janky solutions. Doing proper research rather than reading reviews from random idiots on the internet is a good habit. I'd say, it's not just good habit, but good lifestyle/philosophy in general. If the simplest solution is not your cup'o'tea, then just for shits and giggles I'll tell you about a couple more options that do not require dual-PSU.
The cheapest and most optimal way of getting it to work, is hardware-modding its internal PSU to have 6+2 PCIe power connector (which requires at least rudimentary electronics and soldering skills). Second to best - is ditching the stock PSU, and replacing with standard ATX12V/EPS12V unit. This, however, requires more expenses, since you'll need a 24-pin to 8-pin main power adapter-cable with a built-in 11VSB converter(that's at least another $10-15 on top). I can tell you right now, that it won't be cheaper than buying a 360W Dell unit.
Dual-PSU should've been your last resort, or "nuclear option". And just like with any "nuclear" option, if you don't know what you are doing, you should forget about this idea immediately.
And yes, an improperly implemented external power supply can kill your PC and even "properly" implemented dual-PSU can do it on rare occasion, but it's not PSU manufacturer's fault. Why do you think redundant PSUs for servers and workstations are so expensive...
Except a lot of them ranging from servers to gaming machines are.
I think the last time I saw a non-proprietary PSU in a prebuilt from Dell/HP/Fujitsu back when I bought my second-ever PC - it was a Socket 939 HP Compaq - the shittiest PC ever made. Lenovo occasionally drops-in cheap-ass ATX power supplies in their entry-level semi-empty desktops with soldered CPUs, but that's more of an exception for the sake of saving a few bucks. Beyond proprietary connectors there are also many minor annoyances, like misaligned screw holes, or various metal bumps and tabs on the case that require some filing and grinding.