The concrete issue was solved by adding the group in the section visibility. So, even though the space is set to private, its sections are not. I checked other sections in different types of spaces setup and they all work correctly, so it's probably specific of something particular in the workflow of your group.
I suspect this can be related with a change from a public to a private space. Did you make this change at some point? If yes, when?
Please provide me any information on the changes made on this group that may be relevant to understand this.
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