i always use the adjust network routine so i am less familiar with the traverse one. if you use the network adjust then you just change the name of the common point to the same point number and merge the points. then you should be able to adjust it.
but on a side note, a full closure by occupying all points will always be a better solution. many times i have closed with the first shot to a couple mm and the second closure shot is out more, probably from angular errors.
you will likely have to create “control” quality office points out of two points on your traverse for tbc to know how to start the network adjustment. or if you have rtk on it, then tbc should use the rtk shots if they are also merged as the same point numbers.
also note that azimuth records get held in tbc. unless you want them held, we almost always disable or delete them. these are made when you backsight an azimuth.
hope this helps a bit.