Well done with plenty of clear photos.
Note, the only reason you need to remove the mudguard is the fact you're on the ground. If you have access to a bike hoist as the workshops do, the wheel just drops down from the axle.
It's a good opportunity to put a bit of moly grease on the splines while the wheel is off. You can't rely on the tyre change guys doing it- it's not their job.