3 year old Drama!!

I was going to say that actually !!! Lol. Sometimes as long as you can stay sane , I would ride it out ! The tent idea is different to me ! I'm not sure if I would personally do a time out like that but maybe I'm not understanding it .
3 1/2 is a drama girl age , my advice is to continue to make as little fuss about her behaviour , the way you have handled so far seems best !!
I personally lay down screamers , I just say in a friendly voice , " oh looks like someone is tired ," and lay them on the blanket with us in the playroom and continue with the activity at hand . Not sure if this would work for you , but I feel for you ! Hopefully it doesn't last long !!!

Re: "The tent idea is different to me ! I'm not sure if I would personally do a time out like that"

I actually use the tent as a place for them to escape/chill out (by their choice) any time in the day...a quiet spot, 1 at a time...no toys allowed in. Often there's a little one in there quietly reading. For actual time out as a result of bad behaviors, that's in a different spot (the bottom step of my basement playroom stairs).