half-Lebanese American-Canadian

This doesn't even make sense. What does he mean by this? One appends []-American or []-Canadian to denote a member of the preceding ethnicity that was born in America or Canada, so a "Half Lebanese American-Canadian" would have to be half-Lebanese and half "American" (which is not usually recognized as a distinct ethnicity in the same way, but let's assume it's understood as some form of white) that was born in Canada. This is logically impossible because that doesn't leave room for his Chinese half.

The other option is that he is half-Lebanese, half-Chinese and was somehow born in Canada and America at the same time. Another logical impossibility.

Perhaps one of his parents was Lebanese-American and the other was Chinese-Canadian (or vice versa), and so he has citizenship in both America and Canada, and he's glued together this weird monstrosity of a label to explain it? This seems possible. albeit a little confusing and poorly written.

My suspicion is that what that absurd label really means is that he's a half-Lebanese, half-Chinese that was born in either America or Canada, may have dual-citizenship, and has lived in both (notably, without feeling overwhelming loyalty to either, since he can't pick just one even in self-identifying), and that rather than identifying with any sense of nationality or patriotism, he is sticking "Canadian-American" in there to try to prevent people from noticing that what he's really saying is that he's a detestable "global-citizen" with no real loyalties aside from, perhaps, his ethnic ones. But please do invite him to live in your country and tell you what to do, guys.

half-Lebanese American-Canadian

This doesn't even make sense. What does he mean by this? One appends []-American or []-Canadian to denote a member of the preceding ethnicity that was born in America or Canada, so a "Half Lebanese American-Canadian" would have to be half-Lebanese and half "American" (which is not usually recognized as a distinct ethnicity in the same way, but let's assume it's understood as some form of white) that was born in Canada. This is logically impossible because that doesn't leave room for his Chinese half.

The other option is that he is half-Lebanese, half-Chinese and was somehow born in Canada and America at the same time. Another logical impossibility.

Perhaps one of his parents was Lebanese-American and the other was Chinese-American (or vice versa), and so he has citizenship in both America and Canada, and he's glued together this weird monstrosity of a label to explain it? This seems possible. albeit a little confusing and poorly written.

My suspicion is that what that absurd label really means is that he's a half-Lebanese, half-Chinese that was born in either America or Canada, may have dual-citizenship, and has lived in both (notably, without feeling overwhelming loyalty to either, since he can't pick just one even in self-identifying), and that rather than identifying with any sense of nationality or patriotism, he is sticking "Canadian-American" in there to try to prevent people from noticing that what he's really saying is that he's a detestable "global-citizen" with no real loyalties aside from, perhaps, his ethnic ones. But please do invite him to live in your country and tell you what to do, guys.