I got good new,bad news and another good news
First i started working on this capacitor on right side, only one capacitor as you guys suggested.
I soldered 3 small capacitors (2R5TPE470M9 470UF 2.5V)
The first good news here is now the PS3 is working normally, Before it wont turn on until i spam the power button for like 10 mins.
after soldering the capacitors, its working from the first time

And then i got the bad news, when i try to start any game its going to black screen and nothing happen

.
Then i start thinking what is the causing of the issue

, i touched the new capacitors while the console is on.
I found that the two capacitors near each other they are hot when i touch them, but the other one is not hot at all.
I though maybe i did not solder it probably, so i reflowed the soldering there, and i tested again but also the same problem.
I decided to add the 4th capacitor just to make sure there is enough capacity for the console to make it work.
Even with adding the 4th capacitor the same issue still, console working fine with menus, but when i start a game, black screen.
Then i started thinking again what was wrong in what i am doing

.
all this time i was testing the console without the Blue-ray drive connected to the ps3, then i plugged the drive and start testing the games, ITS WORKING





.
it was from the drive not plugged in the console and i thought its not necessary

but it is NECESSARY to run the games

Now the console is running great, its time for testing heavy games. any suggestion to what games i should test?
Next mission for me is to mod it to add fans and make the heating less on the console.
Thanks to everyone in this thread who helped me, thank you so much <3