Consecutive trial subscriptions of AppleTV+

I bought a TV that came with a offer of a 3 month trial of AppleTV+. I am into about a month of that offer. I just bought 2 more TV's, each comes with the same offer. I've hooked up one of the 2 new TV's. On the AppleTV+ page that's offering me to redeem the free trial, instead of signing up for the trial (then I'd have overlapping free trials, if that's even possible), I just signed in with my Apple ID, and that made it so I could continue to use my original free trial on that "#2" TV. I was told by Apple support that the only way I could use the trials consecutively is to use a different Apple ID each time. So I'm assuming when this first trial runs out in a couple months, I'll be able to go to that same 3 month trial offer on the "#2" TV and have my wife redeem the offer with her Apple ID to get another 3 month trial. When that one runs out, I can do the same on the "#3" TV, using my son's Apple ID. If you already subscribe to AppleTV+, she said you can't redeem a free trial offer. Also she seemed to think you'd have to wait about a year after not being subscribed with a particular ID before you'd be eligible to redeem a free trial offer using the same ID. I don't know if the free trial offer expires after a certain amount of time using a new TV.