Does Laughing During Salah Break Wudu and Invalidate the Prayer?

What counts as laughing out loud in salah? Is it only the haha sound and giggling or is it any sound of amusement - a funny thought came to mind whilst I was reciting Fatiha and I wanted to make a sound of amusement (which to me is an exhale with force and sound) but I stopped myself from making that particular sound but I couldn’t stop myself from exhaling - this sounding like a ghain like gha (which was the next part of the Fatiha I was supposed to recite). To someone outside they wouldn’t have known I laughed or made a sound of amusement - to them it would sound like I stumbled on my recitation but I know that “stumble” was me trying not to make a sound of amusement - in this sense is that sound considered a laugh even though it doesn’t sound like a typical or my usual laugh? Was my prayer invalid? Do I need to redo wudu and my prayer? I read on and didn’t renew my wudu because I thought it didn’t sound like a laugh and to others It didn’t sound like a laugh. But please let me know per hanafi fiqh if I need to redo that prayer, also if you can give the reasons for your answer. Thank you.