Polish 3 Groschen TROJAK. Please help with the mint place [opgelost]

I checked in different books, but did not find the same coin. The upper sign is always differ from this one
Please help with to identificate this coin, escpecially the mint town.
 

The reverse should identify the coin to Olkusz, but the bust obverse does not look correct for 1589, nor is the lettering on that side (should be SIG III and not SIGI 3).  

More thoughts.

Considering the reverse…

- The date looks like 1589.  We could consider maybe it is 1599 with some problems to the first 9, but by this year Jan Dulski (I D and the shield with sword) is no longer treasurer, so I think it must be 1589.

- Only two Polish mints were operating in 1589:  Poznan and Olkusz.

- Only Olkusz had this design:  https://www.acsearch.info/search.html?id=9244537

- Note that your example has points for puntuation.  All examples of Olkusz 1589 I can find have cross for punctuation.

Considering the obverse…

- I think only Wschowa (Fraustadt) uses SIGI 3 in the legend, and only for the years 1594-1595.  An example: https://www.acsearch.info/search.html?id=9076832

This leads me to believe your coin is likely to be either a contemporary counterfeit, or a counterfeit made by combining these two types (does the edge look normal? No seam?)

I myself considered that that it looks like a counterfeit, but you confirmed this by heavy arguments, thank you very much.