Glad You worked it out.
I have recorded screencast for the setup of the profile. I am sorry that I did not include it in the original screencast but I wasn't sure that this was what you were intending.
In short you can create a construct > plane along path on the inside edge of the sphere.
You can use this plane to create a sketch into which you can sketch > project/include >intersect the profile of the sphere.
Once you have this projection as reference geometry you can sketch the profile of the lip that you wish to add. Please note that I did not use a straight line on the connecting geometry between the last edge of the lip profile and the existing projected edge of the sphere. I used a spline for that and made it tangent to the projected inside edge of the sphere. Using a spline instead of a line for this is not necessary but in this case it demonstrates that if you wished for a tangent curve instead of a hard edge you could do that and there could be some downstream benefits to doing so.
After that I used the create > sweep command as you saw in the previous screencast.
I hope this is helpful and makes sense. Best of luck with your project.