Another Quick Update:
First of all:
THANK YOU all for sharing your experiences and advises with me, this is an invaluable source of information and a learning experience. I got the book "The Guitar Player Repair Guide" by Dan Erlewine and is AMAZING! (I found a recommendation of this book by Joey in a different thread in this forum and he's absolutely right about it)
Now, about my progress:I'm taking the setting of my bass very seriously so; I wait at least a day or even two after every adjustment to the truss rod before doing anything again to it.
I also (re)discovered a really heavy buzzing when I press the 4th fret in the high C string that makes it almost impossible to get a clear note. If I move to any of the rest of the string on the same fret, it disappears completely. This happened after I lowered the bridge on the high side to reach Joey's recommendation of 5/64” clearance under the two outside strings over the last fret, now I remembered why I set it so high last time

Upon close inspection I can see a little hump on this side around the 4th fret, not as pronounced as the one that was on the low side of the neck, but it is there. If I get the bridge high enough, that buzzing disappears completely, but it gets really hard (at least for my taste) to play the bass comfortably. I tried to fix this by adjusting the truss rod, but on the high side it is completely loose (just tight enough to keep the adjusting nut from rattling), making impossible to give it more relief by this method.
The buzzing on the low B string between the 7th and the 9th frets is still there, but much less that it was before, even with the bridge set at 5/64" clearance under that string over the last fret.
Now, I have to admit that I was excited to see the hump (almost) gone when I removed the strings and let the truss rod completely loose, so I didn't try to set the neck dead straight by tighten the truss rod as Joey suggested and I just re-strung the bass at this point. I think I need to start over and follow his suggestion step by step and come back again with my progress in a few of days.
As a side note: When reading Dan Erlewine's book, I found something that caught my attention, the so called "rise in tongue". My bass has it and it's been there since I received it 25 years ago. I've always seen it as a curiosity of my bass, but don't know if this could be the symptom or cause of something else. See the attached pictures of the drawing from Dan's book and from my bass.
In the meantime, if anyone has any insight or suggestions, please share them here

Regards...