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SE MN | Without analyzing the whole thing for the intended loads, I can't say if you need the other braces or not. I will say that the brace configuration you show is uncommon. The problem is that if the square side wants to rack one direction, it is fine because it puts the diagonal in tension, but if it racks the other direction, the diagonal goes into compression and a skinny tube like that will buckle before carrying much compression. When you use x braces, there is a member to handle tension for either direction.
Usually, they use x braces and crush the middle of each brace flat so that they can lap close to each other and it makes a handy place to bolt the braces together.
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Tower bracing question
