If it's a GDDR5 GTX 1650 (not "Rev. 2.0 or "Super" or "KO"), then it likely doesn't have nor need a PCI-E 6-pin power cable. (If it does, one can be adapted from a spare SATA power lead, if you have any available).
Regardless, a PSU upgrade will solve all of those problems, anyway.
If you were going to upgrade to an RTX 3070 or higher, I would stick in a 600W (80Plus Gold preferred, but make sure it's at least 80Plus, White is the lowest these days) from a name-brand.
If you just want the GTX 1650 for now, and don't want to worry about GPU upgrades until the time comes, than any decent 450W would do.
A Corsair CX450 is a popular choice, although they aren't as cheap as they used to be 4-5 years ago, they used to be $40 with a $20 rebate quite often. Now they're around $50-55 before any rebates.
Edit: If your current PSU is 8 years old, then I do recommend replacing it, if you are going to drive a GPU (even a slot-powered one). It may work on the existing PSU, but for how long? Afte 8 years, unless it has a 10-year-plus warranty with JPN caps., then it's best to replace PSUs after 5-6 years, unless they are "put out to pasture" on an iGPU system, as yours used to be.