Using bluesky access to photo library not possible, but in settings it is "allowed"

Since I shut down my account on Twitter and am now on Bluesky my phone (FP3+) does not allow access to my photo library. In the settings of the phone as well as in the seetings of Bluesky I have noted that the access is allowed, but it does not work. However when opening Bluesky on my laptop I can add photos to my Bluesky account, so it will be a problem of the phone and not of the app. The latest version of Android 13 is installed.
What could I do?
Thanks for your response!