Sorry, I wasn’t trying to be difficult or dismissive. I just know in older tanks, phosphate especially can be hard to lower and sometimes everything is already adapted to the higher number so there is limited benefit to lowering.
That said, I just spent 3 months getting phosphate down from 2.0 to 0.1 ppm in my 9 year old mixed reef 120g. I am personally not a fan of lanthanum chloride which may have been faster, but not worth the risk to my fish. So I used GFO to chip away at it over time. At first it may seem like you aren’t getting anywhere because the phosphate gets bound up in the rocks. Eventually by continuing to remove from the water via GFO you will get most of the PO4 out of the rock and start getting better traction with the GFO. So be careful towards the end as it starts to accelerate downward. You don’t want to bottom it out. I still really think 20 ppm nitrate is perfectly acceptable, but if you are set on lowering that also, there are several options. The easiest is probably just a couple water changes, but if you want continuous removal you could explore carbon dosing or a refugium.
No problem, my friend, I understand your point.
There are many number chasers without even knowing why they are looking for those numbers. I understand that phosphate accumulates in the rock and does its thing. A more or less large, powerful refuge will do a good job, but it also consumes trace elements that I will have to replace, either with changes or by adding bottles that I would not like to buy.
And reading everything you talk about carbon dosing "with caution" I think it could be an interesting, monitored and effective way to achieve what I am looking for.
I would not like to use GFO, and as I explained, I have an ATS, but I do not feel that it does a good job.
If I can summarize or define this aquarium, I feel that it is like a person who has low defenses. If someone passes by with a cold, they will catch it LOL. That is why I started adding bacteria and I see changes, which excites me because with carbon it can improve substantially.
THANKS FOR YOUR COMMENTS

but my questions are:
1) I keep adding bacteria, I don't know, for about 4 or 6 weeks , do I evaluate the results and start with the vinegar or do I add the vinegar and stop the addition of bacteria?
2) Do I remove the ats? Or can it work in conjunction with the vinegar method?
3) the vinegar they sell in my country says "Distilled and pasteurized, made with 5% sugar cane alcohol, natural flavor and aroma"
h e l p LOL