@hevans1944 -> If I had a couple of these, I'd be more than willing to just ramp it up until it fails and then I'd know how far I could push the other one. Sadly, this is the only one that I have, though, and I really don't want to risk letting out the magic smoke. That stuff is murder to get back into those little components! lol

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I didn't suggest that you "ramp it up until it fails". Use a pulsed load perhaps a few milliseconds in duration with a pulse repetition rate high enough to allow you to see the power supply output on an oscilloscope. It would be desirable to also monitor the pulsed current in the load with another channel on the o'scope. Start at low current and increase the pulsed load on the power supply while paying attention to how the output responds. If you can reach your desired current level, you can then increase the duty cycle (longer pulse widths, same repetition rate) while again monitoring for signs of distress, like especially overheated components or sag in the output voltage or sag in the pulsed current. You would need a linearly variable load such as a 2N3055 BJT with an adequate heatsink operating in its linear range of current.
BTW, is that a fuse covered in insulation on the left side bottom of your second picture? I would try to unsolder it, cut away the insulation, then see if there is an amperage rating on it. If it is a fuse, try to determine whether it is in the input or in series with the 5 V output. If in series with the output, the fuse rating will give you a clue about how much current the power supply is designed to deliver. Unfortunately, from its placement on the board, I suspect the fuse is in series with the input power; so not much help there unless you can manage to measure the efficiency of the power supply. The efficiency typically starts out low and improves as more current is drawn, then it decreases as the supply approaches overload.