Thank you very much for your assistance.
I have a Seagate external drive which I use to make TimeMachine backups of my MacBookAirCatalina, I will have a blank LaCie external drive.
My objective is to have Sonoma on the LaCie drive and Catalina on the internal MacBook Air drive.
I would appreciate your comments on the feasibility of achieving this with the following:
Connect power cable to one of two MacAir ports.
Connect LaCie drive to the second MacAir port
Boot up MacAir and install macOS Sonoma (currently in Applications folder) on LaCie drive.
Eject LaCie drive; power down MacBookAIr.
Connect Seagate TimeMachine backup, boot up to Seagate.
Eject Seagate; connect LaCie drive.
Transfer Catalina contents to LaCie, using Setup Assistant (where is it, how do I find it?? )
Eject LaCie.
Hope that makes sense.