Yes, you did.
Then you imported/inserted the external component into your existing component, making it an assembly.
For the braket you should have created a second component in that assembly.
If you're looking for a quick solution, you can right-click on the bracket body and select "Make component from body". That component, however, will not contain the sketches you created to make the body. So if you later want to export the bracket to the data panel (save as), maybe for re-use in another design, it will only contain the body, but not the sketches and parametric desigh history. That might be OK for this bracket, but going forward I'd adhere to R.U.L.E #1 😉 It saves a lot of headaches and also will keep the ever growing timeline manageable.
You'll notice that when you activate a component that the timeline shrinks. Activation of a component filters the timeline to show only those items that pertain to that component.
As you design grows that will become very helpful.