Table with data kept external used as input to Data Function is no longer selectable. Data Functions and Tables with external data

I have a Data Function (Matlab) using as input a table for which the content downloaded from the database is kept external.

This was necessary for the dashboard to work via the Webplayer, see:

I am writing another data function which should take this table as input but its name no longer appears in the list of possible tables when I set up my inputs in Parrameters for the data function.

Also the existing function works fine, but when I look into its Parameters, I no longer see the table name, only a blank field.

I have checked in Data Table Properties that the "table name is available for vizualization".

How can I write my new data function?.