Help needed, Hamburg German Notgeld

Hello everyone, today I got this coin from Hamburg (Notgeld):

https://en.numista.com/catalogue/pieces7104.html

Looking in the Numista catalog, I have seen that there are 3 very similar coins and that the 3 are cataloged under different issuers, despite the fact that according to Funck's coding, those 3 coins start with the number 637.xx, they are these coins:

In the issuer "Germany› German Notgeld ›Hamburg, Federal state of • Mark (notgeld, 1914-1924)", this coin:

https://en.numista.com/catalogue/pieces65341.html

In the issuer "Germany› German Notgeld ›Hamburg, Federal state of› Hamburg, City of • Hamburg - Private issues ", this coin:

https://en.numista.com/catalogue/pieces65340.html

And in the issuer "Germany› German Notgeld ›Hamburg, Federal state of› Hamburg, City of • Mark (notgeld, 1914-1924)", this third coin:

https://en.numista.com/catalogue/pieces7104.html

I suppose that the 3 currencies should be under the same issuer, but in which of them? Is it private, city or federal state issuer? What does the face value "Verrechnungsmarke" mean?
Thank you very much for your help, Oscar

"Verrechnungsmarke" usually points towards a private issue. This coin was issued by a bank in Hamburg, but with allowance of the federal state of Hamburg. So really difficult to say whether this should be classified as a private issue or a public issue.
But definetely all these coins should fall into the same category...