Just to conclude on this narcisic topic and to help for general "search" result quality on the forum...
I added some Tartaric acid (tip of a teasooon) directly in the brown bottle, and shaked. 10 minutes later, the precipitate was gone and the solution got the "all clear"
From what I understand the precipitate would in fact lower the amount of "reactive" silver in the solution; adding Tartaric acid bonds that remaining silver back into Silver Tartrate.
As to why the proportions were sufficiently wrong in the first place, I have no idea. Insufficient purity of the tartaric acid ?