BetterBibTeX citation key when accessing group library via server API (pyzotero)

In view of automatically generating bibliographies for different topics or authors I am writing a Python script which accesses my group library via the server API using pyzotero.
At the same time I would like to use BetterBibTeX and its automatic export feature to create the BIB file which is then used in LaTeX through the abovementioned python script.

However, when accessing library items via the server API (using pyzotero) I cannot find the BetterBibTeX citation key as it is usually available in the Zotero client.
My assumption is that this citation key is only available locally (on the client's side) but not on the server, is that correct?
Is there a way to access the BetterBibTeX citation key or regenerate it automatically?
Or is there another way to easily link each citation key to each library item accessed via the server API?
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