After I started to run out of kitchen space for dirty dishes, I began to investigate the problem. Fortunately, a search quickly turned up plenty of evidence that I wasn't the first to experience that problem, and that this usually didn't involve major repair. In particular, this discussion thread was very useful, but there are still several details worth knowing, and a few pictures wouldn't hurt either.
So here we go ...
Anyway, let's assume the filters have been cleared but we still get "AL03". It's now worth trying to clear the outlet with a plunger. This may or may not remove objects stuck in the pump. Be warned that plunging may just dislocate the offending object without completely removing it, and "AL03" will return once the object has settled in a suitable spot again.
Before plunging, the water level should be lowered. A quick way to accomplish this is to remove the filters and to scoop out the water with a cup or similar. Leave a bit of water in the filter hole for the plunger, or, to make the work more pleasant, remove all the dirty water with a sponge, and add a bit of fresh water. The goal of plunging is to remove the object that is blocking the pump, not to remove some large obstacle clogging a pipe, so successful plunging will not announce itself by the water vanishing with a gargling sound. Instead, one has to check whether things work by starting the dishwasher and letting it go through a short cycle.
If the problem persists, the next step would be to check the outlet hose. Detaching that one from the fixed pipes can sometimes be quite messy, but if this is possible, it's worth the effort to check. Detach the exit hose from the piping and put it into a bucket. (There will be some water spills.) Then start the dishwasher. If the water now rushes into the bucket, the piping is the culprit.
Alas, normally, nothing promising happens at this stage. So the next step is to work on the pump.
Before doing anything else, disconnect power. The components inside the dishwasher operate at mains voltage, and there's plenty of humidity to make any involuntary electrocution a smashing success.
When tilting the dishwasher, most of the remaining water will run out. If you haven't done so already, you should first pump or scoop out as much water as possible (e.g., with a cup), and take care of the rest with a sponge. Even when the inside appears completely dry, there will still be a liter or so left, so prepare to deal with this.
The following pictures show one corner of the "bumper", with the screw already removed, and the screws that hold it in place:
There is one screw for each corner. After removing the screws, the bumper can be pulled towards the front. I found it impossible to get it off while the dishwasher was lying on its side, so I put it back in an upright position, cleaned up the spills, pulled the bumper/cover, and turned it over again.
On the front and rear side, there is one at each corner and one in the middle. The following two pictures show the front and rear:
To remove the screws in the front corners, a screwdriver with a long shaft is necessary, as shown here:
There is a leak sensor at the bottom that is connected with a cable to the main assembly:
After disconnecting the cable, the bottom plate can be put away. We now have a clear view of the dishwasher's innards:
We will now extract the pump. First, disconnect the cable from the motor.
The drain hose is held in place by a quite sturdy clamp. Fortunately, not too sturdy to resist the application of pincers:
Once the clamp is loose, it can be pulled onto the hose:
The hose can now be pulled away. As usual, water will spill. It may be a good idea to put some receptacle under the inner end of the hose, and raise the outer part of the hose, to drain it completely.
At this moment, it's also easy to verify if the drain hose itself is clogged.
Now the pump can be turned and then pulled out of the machine:
And here we have the object of our desire:
Any reasonably well-equipped hardware store should have a suitable screwdriver. Torx screws can be handled with a regular screwdriver, but it's awkward at best, and will probably damage the screw. Now we can open the pump:
With a little luck, the offending object will now be in plain view. In my case, it was a piece of plastic that's been broken off the bottom of the cutlery basket.