There are some interesting explanations to כֹּ֣ל הַ֭נְּשָׁמָה that you will find here. All of them refer to humanity, not to animals:
Ibn Ezra views the entire Pslam in terms of its original aspect that it was sung and played on the harp (with probably accompanying instruments such as the ugav, cymbals, etc.) as stated in the words of the Psalm itself. There was a choir singing along and it followed the harp's melodies according to high notes, low notes, short and long rhythms. Thus, this last verse is an instruction to the musician to play with "all its soul", probably a metaphor for playing loudly and with full strength.
Ibn Ezra also cites Rabbi Shlomo Hasfardi who says that this is an allusion to a person's "higher soul" that is in heaven. (I'm not sure what that concept means.)
Rada"k says that the neshama - ones "soul" begins to praise G-d when it reaches a level of understanding of God's handicraft.