'global peace' and 'world peace' are synonyms, aren't they?
Unless you are a Flat earth enthusiast! But yes, edited. Thanks.
"global" is even better and should become the "main solution". An alternative might be "world wide X".
Except that, at least in US English, the term "World War" is pretty heavily "ironed in" thanks to 1914-18 and 1939-45.