B31.3 is new construction. If for instance your application is in a refinery, you may wish to look at API 570 Inspection, Repair, Alteration, and ReRating of In-service Piping Systems. 570 does specifically mention the answers for your question. For instance, The API 570 inspector is given the call to pressure test or not if deemed necessary and practical by that inspector. Without a pressure test the following applies:
Summerized from API 570
The new segments of the pipe system in question are treated as B31.3 and tested accordingly.
Tie in welds: Any final closure butt weld shall be 100 percent radiographed or UT.
MT or PT shall be performed on the root pass and the completed weld for butt welds and on the completed weld for fillet welds.
If your hot tapping there are other concerns and guides such as API Pub 2201.
I believe you are looking at the wrong code for your application.
Regards,
Gerald