Your sludge looks like everyone else's sludge.
"Permanent" means they have been cleared too often w/o fixing the problem. Did they have this permanent designation the first time you read the codes? Looks like you need to run the drive cycle and give the DME a chance to see if the cats are really working. Here's a link with some info on permanent codes and a recommended drive cycle. Not sure this works for BMW's.
https://www.autoserviceworld.com/car...ermanent-dtcs/

Universal Trip Drive Pattern

So, how to clear a Permanent DTC? By performing a Universal Trip Drive Pattern that meets the strict criteria in the repair manual, to prove to the computer that the fault has indeed been repaired and no one is trying to cheat on an emissions test. After performing this Drive Pattern, if the code doesn’t clear it’s usually because the strict criteria were not followed exactly. It’s a pain, but that’s the way it goes.

Typically, this Universal Trip Drive Pattern starts off by clearing all the DTCs so that only the Permanent DTC remains (always refer to service information for applicable information and procedures).

Then turn the ignition ON, start the vehicle and let it idle for at least 30 seconds. Then, without cycling the key, drive the vehicle for at least five minutes at more than 40 km/h. Then (again without cycling the key) let the vehicle idle for at least 30 seconds before shutting it OFF. The whole drive cycle must take at least 10 minutes. After performing a Universal Trip Drive Pattern, the computer clears the code, since it’s “seen” that the problem is fixed and not reoccurring. Sounds simple enough, and most problems have apparently come from not performing the Universal Trip Drive Pattern correctly, but time will tell if these new DTCs will be problematic.

I would run several Universal Trip Drive Patterns to see if these codes will clear. You may need a BMW tool like ISTA to get past this issue. Of course this code won't go away if your cats are really bad.