I would have either not told her what I did and remained mysterious or flat out lied and said you went out with some friends. She is sniffing around a little bit and that is good.
You saying that you were just at your brother's place makes you sound like a solid plan b when she should be wondering what you're up to and who you are out with. The only time I would say I was at my brother's place is if I knew she wouldn't believe it in order to make her wonder.
Don't pry, she'll speak when and if she is ready. I know you want this big talk where she jumps back into your arms but you won't be the one to initiate that.
Making a comment on her bag is not detachment either. Detachment is so vital to this. It's hard to see why but you need to read and absorb that part.
H 34 W 29 BD 3/12/18 Divorce Busted Spring 19
It is not things that bother us, but the stories we tell ourselves about things.