The first article is kinda thin on details and takes seems to have taken liberties in applying the Concorde 2 name to NASA's project. Here's one of several recent articles with some more detail.
https://www.nbcnews.com/mach/science...one-ncna779626
The NASA Quiet Supersonic Transport (QueSST) program is the preliminary design stage of NASA's Low Boom Flight Demonstration (LBFD) experimental airplane. Looks like earlier this month QueSST passed preliminary design review. This is a step on the way to an X-plane for testing and experimenting, though it could take a few years just to reach that point:
Completing the initial review of the design's operational effectiveness is a major milestone in NASA's initiative to make supersonic passenger jet travel over land possible. This also means that NASA can begin the process to collecting proposals and awarding a contract to build a piloted LBFD X-plane, and then possibly start flight testing as early as 2021, according to the statement.
The Airbus patent is interesting, though companies will file patents for all sorts of things as a matter of course, so it doesn't necessarily mean they have any firm intent to pursue actual production.
I came along too late for the Concorde so selfishly, I'd sure like to see a new supersonic passenger plane some day.