Macbook Pro (2013) won't turn on, intermitent fan noise

Hi everyone,
My partner has a 2013 Macbook Pro, which is not turning on anymore. The charger seems to be working and emits a orange light when plugged to the laptop. One thing we know is that the battery was in rough shape, and the laptop could only turn on when plugged.

I tried to do the shift + control + option + power method, I also tried the Command + Option + R + P method, but nothing has worked.

However, there is now a weird sound, as if the fans turn on for half a second, and then turn off, and so on.

Would anyone know how to fix this issue?