Global name will not change in PDB

Hello all,

having an issue with PDB's global name not changing

Running on linux RHEL 7.8

Oracle 19.16

current db domain =skynet

current global name=TEST.skynet

what we've tried

1.Changed the global_name for the root container DB and PDB

alter system set db_domain='skynet.jump' scope=spfile;

2.Shutdown and restarted PDB TEST

global_name still:

TEST.skynet

3.Read in Database doc that the global_name will be created based on the DB_NAME + DB_DOMAIN during DB creation.

why when changing the db domain it wont change?

4.created another test PDB, TESTPDB with the root db domain as skynet.jump