Register multiple PDB with same service name

Hi

I'm using Oracle 19c EE without RAC neither DG

I would like to register 2 PDBs instance withing the same service name (on same server).

I can achieve this with 2 PDBs in 2 different CBDs: CDB1/PDB and CDB2/PDB.

But I'm would like to know if it's also possible if the 2 PDBs are in the same CBD: CDB1/(PDB1+PDB2), and register PDB1 and PDB2 with same service name SVCPDB.

I'm unable to dbms_service.create_service('SVCPDB',...) with the same name (ORA-44303) in both PDB1 and PDB2.

Could you tell me if is there a way to do this?