That seems extreme ! I am wondering if she is verbal ? Does she have a point where you could stop it before it happens ? Like if you verbalize , it's hot I'm taking off your sweater , would she just start to tantrum ?
Tantrums only are effective if they obtain results , her pointing to go upstairs to me indicates she is aware and manipulating . I would immediately walk away from her , play with other children , pass out treats to behaving children , basically totally ignoring her !!!
If she followed , I would calmly say , " you are too loud for our ears so go scream over there ", I know it sounds silly but if she follows you tantrum ing she is looking for your response ! Do not give in at all , act like it doesn't bother you . She obviously has gotten attention for it if she is having that many of them !!
I would def have a treat or fun activity and exclude her and let her know when she is done she can join, Calm and cool !!!