Thanks for your question. It has been assigned to me. I will attempt to provide some meaningful information. While I'm working on it, look at the following site. It might help you in your thinking.

https://extension.umn.edu/lawns-and-landscapes/landscape-design

As I understand your question, your primary objective is to hide the view of the neighbor’s garage that is just behind the red arrow in your picture. I assume you would like this to be a year round situation, though achieving this in winter months might be challenging. I see a potential conflict between this objective and the use of an obelisk or tuteur. The garage roofline is quite broad. I wonder if one or more narrow vertical elements would provide sufficient lateral screening. It might take several years of growth for this to happen.  In addition to the height provided by a supporting structure, you also need more width and mass.

What about removing the small juniper by the arrow and replacing it with a larger tree or shrub?

Another possibility might be to add a section of fence in the area by the arrow and add to the height of the fence. A trellis could be added to this additional section on which a flowering vine could be growing.

Your thoughts? Thanks for consulting us.