Yes the proper detail is to fur out the siding over the face of the brick with at least a 4 overlap.
Flashing between siding and brick.
Details like this risk rot and insect damage to the structure.
It might be buried behind the siding where you can t see it.
Transition from brick to siding.
You need to make sure each material sheds water over the top of the material below without getting behind or under the materials.
My detail only shows how it should be capped and flashed if you do build it as shown.
Maybe in this case the flashing extends upwards behind the building siding forming a zee shape that might reduce this risk.
Flashing between brick and siding is a relatively similar process on all types of brick to siding transitions although there may be slight variations based on manufacturer recommendations.
There should already be a metal flashing that is sealed to the brick.
In your case there is a great need for a flashing that runs along the top of any of the horizontal fascia boards.
Using a metal j flashing between these types of transitions provides a barrier between siding and transitions that protects against water intrusion.