<human>: Can you summarize the given text in a few sentences?

For the first 3 months of our breakup, I was constantly trying to win her back any way I can and probably came across exceptionally needy and desperate. During this time, she would string me along with false hope and occasional sexual meetups. It was the hardest time in my life as I went from living with her, to living by myself and having to deal with the instant level of lonliness bought on by it.
 
In the 2 months that followed, things calmed down slightly, we spoke occasionally and spent a weekend together where I thought we were actually getting back together. That was a month and a half ago. Since then, we haven't seen each other and have spoken a couple of times where she would tell me how amazing her new life is or talk about this new guy she's seeing and enquire about my love life. She made a habit of txting me once a week to brag about her new life until I stopped replying as it was hurting to hear about her new life while I'm still in love with her.
 
I haven't heard from my ex in 3 weeeks (which is the longest period of time we haven't spoken), and I miss her a hell of a lot. She txted me 'hey' a week ago, which I ignored. I've been trying to move on because of her initial refusal to give us another shot but since things have cooled down and I'm no longer emailing her daily asking for her back, I'm wondering where she is at. I'm worried though, as she has been relatively cold towards me since we broke up and I'm scared that given the oppertunity, she will shut me down harshly.
 
I want to contact her again and see if she wants to give us another shot. Any advice on how to approach this? I want to protect myself from possible harsh rejection or being flat out told that she has a new bf or is in love again or whatever. I just want to put it out there that I'd be willing to forget all the bullshit and give us another chance if she wants.
<bot>: Been broken up with my ex for 4 months, want to contact her again to see if she wants to give us another shot.