I found the final cause for this issue, short circuit on the board, it is very hard to find a shorted component.
I isolated all circuits by removing the solder bridges, around 7 or 8 PJPxxx in the schematics
b2f74_Compal_LA-9104P_VAW00_Inspiron_3521.pdf
that only learned me that the short did not go away, so it must be real close to the entry.
I singled out where the short then might be and started to remove capacitor PC105, PC106 , PC 104 bingo!!!!
The 4.7U_0805_25V6-K had shorted because of the ESD!
I replaced it with some 1206 cased tantalum cap I had around, had to resolder all PJPxxx joints and the AO4409 that had died because of the short.
Connected PSU and no more switching off
😉
Put all back together and voila!!! It worked again!! Hurray!
Here the same issue and a picture
http
/www.badcaps.net/forum/showpost.php?p=578437&postcount=50
Some months ago I searched and found a similar case where this cap was shorted, I guess a common cause for these kind of ESD shorts.
I have some AO4409 and AO4407 left for repair, ping me if you have a need in NL or EU.