Translator puts it as one and the same word. It rejects me another meaning in my native tongue.

It's convention and more accepted to say that "I am proud of myself". So it has lost its former infame. Though it's something else to say that "I have done such a great and outstanding job!"; no? ;) HaHa
I used to joke that "self praise does not stink" (as the saying goes in Germany) but that it links (hits).

joy is unlimited.
happiness is the one that is temporal.

I think I understand. Though I am more of a fan of "serenity" which is coupled to an inward smile (skillful spontaneity) which sometimes goes outward.

AND NOW YOU GO AND CHOOSE JOY!!!! 😂

HaHa! :D