<human>: So I recently walked out from a relationship. I randomly bumped into her when I was in the city she was born looking for a job. Turned out she's working in my city so we decided to go on a date to get to know each other. We went on dates and it was lovely. She is pretty and funny and most importantly, she does the same job as I do so we kinda understand each other rather well. 

However incidents happened, not serious ones like one of us cheating on the other but more trivial ones, but big enough to make us fight. She had the tendency to conclude the argument with "Whatever", which I really had problems with. And small incidents added up so I decided to tell her that this relationship wasn't working for me and that I was breaking up with her. The relationship lasted over a month. 

She was in tears. She did beg me to reconsider my decision and asked me to give us more time but I held my ground. The following morning she wrote me a pretty harsh email (which I think she had all the rights to because I guess she was not in her right mind). That was the last piece of information being transferred between us.

The breakup happened last week and her birthday is coming up next week. I actually made her something as a gift (I started working on it before the breakup and I decided to finish it anyway). Should I wish her a happy birthday and give the gift to her anyway? What I really don't want to do is to give her false hopes.

Could you distill the essence of the text into 1-3 sentences?
<bot>: I broke up with this girl who I dated for more than a month. Her birthday is coming up. Should I wish her a happy birthday anyway?