@Constantino
Well, speaking from my experience, several factors play into it.
Firstly when approach anxiety is high, each approach is more "precious". Meaning since it takes so much effort to even open, you are desperate to ensure that the conversation lasts and does not end just seconds after the open. So you speak fast in an attempt to make sure the girl does not go away.
But once you are able to do more approaches, you are not that invested in every approach because you can always approach another girl so you calm down and become more chill in your approaches.
So I dont know how you are with approach anxiety and how many approaches you are able to do. If you do less than 20 approaches a week, I would say just focus on doing more approaches.
Secondly, I consciously practised speaking slower. I remember a few months where my only focus was on the "first 5 seconds". Meaning my goal was just to focus on the opener, to go upto a girl with a smile, good amount of excitement/enthusiasm and deliver the opener, with pauses and a clear tonality. And I would try to make sure that the opener lasted at least 5 seconds. If I said it quicker than 5 seconds, I know I rushed through it.
So you can just take the pressure off yourself from trying to get numbers, dates, conversations etc and just do 100 approaches where you focus on just the opener and delivering it slowly. And anything else is a bonus but for that 100 just focus on this.
And even if the girl hooks, just focus on speaking slowly and calmly.
Once you practise this consciously, you will then be able to do it even when you are not focused on it.
