I think that Liteon unit was in some HP Compaq unit?
It's a 19A/12V rail unit (228W)
73W TDP on the CPU, 75W max on the GPU + other components.
Nearer 200W max draw on a 228W PSU that's probably 6-7 years old at this point? I'd say no.
While their very much 'budget' / entry-level units, the EVGA BT450 or Antec VP450 are both in the $30 range and should be more than adequate.
https://pcpartpicker.com/product/GQX2FT/evga-bt-450w-80-bronze-certified-atx-power-supply-100-bt-0450-k1
https://pcpartpicker.com/product/MnR48d/antec-power-supply-vp450
That being said, for only $10 more you could have the SeaSonic S12II 520W which is a great quality unit, albeit on a dated platform...