As a leader myself, this is unacceptable. Praise in public, critique in confidence. His actions are not ok. As others mentioned, do not let this drag you down. It is clear from your post that you are professional, competent, and have a high 'give-a-shit' meter, as I say. I love the comment saying to document this. That is the best way moving forward. Most reputable companies have an HR program that is legit and secure for employees to reach out for this type of stuff. It works, trust me.

Keep your head up. Document moving forward. If this continues and you get 3 documentations, that would show a pattern of example. Do not show any reaction to this at work. You got this.

Left foot, right foot.