The best way to reuse your bracing is to save it to a folder in components in Sketchup, I did a video on how to do this with wall types and the same method could/should be used, you could even include the bracing in the individual wall types in the created component and delete it if you do not need it. First, do as Grant mentioned above, here is the link https://www.youtube.com/watch?v=IXRvzxu-geI
This will allow you to add tension, sheet bracing at the right height/slope and size according to the stud spacing.
TIP: Make sure you BIM
it and add a layer so it appears in your Bill Of Quantities/takeoff (BOQ) you can then export to excel and import into Xero or Buildertrend or whichever software you use to coordinate your projects and finances. We have a lot of users who are doing this and from all accounts, it is reducing error and improving efficiency. ...and that's what it's all about.