Your Systerm Info is indicating that there is a 6K display connected. What happens when it is disconnected?
Note - I don't believe there is any way that 8GB of memory is sufficient if your intention is to use it with a 4K display let alone 6K when GPU is enabled.
2022-06-15 13:37:58.652 Adobe Lightroom[20122:452110] Lightroom version: 5.4 [ 20220607-0605-ab0fd72 ] (Jun 7 2022) objc[20122]: Class VFExporterMessageDelegate is implemented in both /Applications/Adobe Lightroom CC/Adobe Lightroom.app/Contents/Frameworks/CameraRaw.lrtoolkit/Versions/A/CameraRaw (0x1372b84d0) and /Applications/Adobe Lightroom CC/Adobe Lightroom.app/Contents/Frameworks/video_toolkit.agtoolkit/Contents/MacOS/video_toolkit (0x10d564940). One of the two will be used. Which one is undefined. objc[20122]: Class VFTools is implemented in both /Applications/Adobe Lightroom CC/Adobe Lightroom.app/Contents/Frameworks/CameraRaw.lrtoolkit/Versions/A/CameraRaw (0x1372b8520) and /Applications/Adobe Lightroom CC/Adobe Lightroom.app/Contents/Frameworks/video_toolkit.agtoolkit/Contents/MacOS/video_toolkit (0x10d5649e0). One of the two will be used. Which one is undefined. objc[20122]: Class VFExporter is implemented in both /Applications/Adobe Lightroom CC/Adobe Lightroom.app/Contents/Frameworks/CameraRaw.lrtoolkit/Versions/A/CameraRaw (0x1372b8570) and /Applications/Adobe Lightroom CC/Adobe Lightroom.app/Contents/Frameworks/video_toolkit.agtoolkit/Contents/MacOS/video_toolkit (0x10d564a30). One of the two will be used. Which one is undefined.
Can you clarify if this is a Crash or an Application Hang? I saw in your other thread you mentioned a 'beach ball' which is indicative of an Application Hang - not a crash.
The App gets unresponsive, several seconds later a system dialog pops up, telling me to force quit the App (in the list of apps Lightroom ist colored red).
After Force-quit sometimes a dialog from Adobe pops up, asking for details, mostly it simply says: Lightroom has been quit, start agein?