Very good research. This helps a lot. First, the arms on your piece are not the
arms of Chur, but there is a vague relation through the climbing animal. That means that there are two possibilities: the arms are of a bishop of Chur, or they are the arms of a minor nobility family. In 1590, the bishop of Chur was
Peter von Rascher, so we are left only with the second possibility.
The link in your reply #4 brings us further. Fuchs vom Fuchstal zu Laufenburg is the family name of the issuer. Fuchstal is near Munich, while Laufenburg is near Basel, but still in Germany. The original title is apparently knight of Fuchstal. Laufenburg is the seat of the family, likely the best palace in their lands. The climbing fox is obviously not a goat, so there is no connection with Chur.
On to the piece itself. It is indeed described under number 35 in the archived magazine you found. There is not much new in the description, except that the animal in the first and fourth quarter is identified as a fox. Incidently, the right helmet on the other side are surmounted by a fox. The heading of the article is: "Nachtrag zu den in Reinhardt's K.-K. und in dieser Zeitschrift beschriebenen Jettons der Münz- und Kammermeister (beschluß)". While this title is not 100% clear to me, it goes in the direction of Final addition to the (catalogue of) tokens of financial supervisors described in this magazine and by Reinhardt (reference to Austrian royal protection). The sub-heading is "H. Familien-Jettons" - family tokens.
I would conclude that your piece is likely to be a counter, issued by the head of an accounting service (Kammerherr der Rechenkammer) of a higher nobleman. In modern terms, the knight of Fuchstal would be in charge of making sure that his employer would not be robbed by his own accounting staff. That (like present-day "managers"

) wouldn't count as work (nobility could lose its title if they took a job), get him an income nevertheless as well as access to at least one influential nobleman.
Peter