Ps4 slim shows blue light when i press turning on button and shutts down at the same moment

Hello, my ps4 is 4 years old now and i was playing normally and suddenly it shutted down, i left it for some hours then turn it on, the same problem happened but in less time and after that it became shutts down in less time and now when i just press the button it shows the blue light with sound but immediately turn off.

I visited two repairing places and they told me its the processor, and if they fix the processor “which costs 90$” they won’t guarantee that it continues to work and i should buy a new one.
If anyone knows anything about please tell me because i feel i’m lost.