Native and Meso-Americans are Asiatic, clearly.
Middle-Eastern/North African people are generally of the caucasoid type, either orientalid, mediteranid or armenid. It doesn’t make them White as most have about 5-15% White haplogroups in their DNA.
There aren’t clear seperations between these classifications as many if not most of Arabs and Middle-Easterners are going to be a mix of 2 or even 3 of these groups. Turks and people from the Caucasus will also have a lot more Asiatic DNA.
Some Arabs and North Africans are mixed with Blacks, making them of the Black race. Those would be Black Arabs as Arab is more of a cultural term than a racial one. There are also pure Blacks who are Arabs culturally.
Caucasoid is a more accurate term imo than White as it neatly covers all 3 types we have (Caucasoid, Negroid/Black, Asiatic). Caucasoids (not to be confused with Caucasians from the Caucasus) are very diverse and shouldn’t mix with other Caucasoid groups. This is also the case with the Negroid and Asiatic races who are also very diverse within each other.