This is a nitpick.
For clarity: the company/vendor is Ableton, their flagship product is Live. Ableton Live is its full name. Ableton Live. Compare Apple Logic Pro, Steinberg Cubase, Image Line FL Studio, and so on.
Respectfully, please try not to refer to the product as Ableton, e.g. "I made […] in Ableton". It was done in Ableton Live, or just Live in a pinch.
(This used to really wind me up back in the old days, but I've calmed down about it. I can't begin to imagine how the Ableton marketing/branding teams feel about the mismatch. Maybe it's just me, this isn't a hill to die on.)