I've run into a lot of sources that indicate [t͡s] is not in GA. While this might be true phonemically, I don't entire believe this to be true for the actual phonetics.
By the definition of an affricate, a stop released as a fricative, I would argue that with the exception of the "t" and "s" being split across syllable boundaries, [ts] as a consonant cluster is might be rare. In words like "cats," I find releasing the stop before pronouncing the sibilant a bit unnatural*. While releasing the stop as a fricative feels easier. The only difference I notice between this and languages that phonemically have /t͡s/ is the duration of the fricative release.
Another example is that in casual and "lazy" speech, some people contract "its" and "it's" to "'ts" (which oddly enough is unaspirated even at the beginning of a sentence). I think that "'ts a car," would be phonetically written as [t͡s ə käɹ].
*While I am a native GA speaker, I'm from British Columbia. The only differences from the GA dialect I can say I have conclusively are slight vowel shifts. I think it would be very unlikely that would cause people just outside the US border to speak with a unique phoneme, but I feel I should mention it all the same.