"Latinx" is a germanic language construction grafted onto a Latin-based word. It makes no sense, and is non-pronounceable in Spanish. "Latine" is, perhaps, pronounceable, but is a confusing suffix. My recommendation is to drop this silliness. Germanic languages (English is one) and Romantic languages (like Spanish, French etc) have rules and trying to bleed rules from one into the other leads to the hilarity that you describe in your comment.

(I speak conversational German, a little Spanish, native English)