Ps3 Super Slim turns off randomly

Hello ifixit users, this is my first question that im posting here due to a problem with my ps3 super slim.

I got this ps3 from a long friend of mine back in 2016, i didnt give it much use until 2020/2021 when i found out about Hen. After the console being moded everything worked great. Someday around 2022 my sister was playing and said that the ps3 would turn off by it self on power on. I've checked it and yes after a few secs or even a minute or two the ps3 just turn off itself.

After searching a bit on the internet i saw some people saying that it would be a PSU problem where some of the capacitors would unsolder from the PSU board, that got me thinking, maybe if i do a bit of presure on the back of the console where the capacitors are located the ps3 wouldnt turn itself off, guess what it worked but not for a long time, i got it to run a few games maybe for around 10 to 30min and it goes back to the same.

My question here is, should i go and buy a new PSU which is around 20~30€ or should i buy a used one for 60~80€

Thank you