Once FIBA LiveStats Widget is created, you can edit and update it at any time, you do not need to create new widget, when competitions or season are ended.
Enter your Widget manager https://widget.wh.geniussports.com/, click on existing widget ->
-> move to Step #2, click Add new data source ->
-> select which competitions you wish to appear using the the drop down tool, click Add for saving data.
Newly added competition will appear in the FIBA LiveStats Widget, you do not need to copy the implementation code from Step #4 again, it stays the same.
More about configuration of FIBA Livestats Widget you can read in this article