By Justin Melvin
Answer: REPTILES

As suggested by the title, this puzzle is about Looney Tunes. As confirmation, there are hints in the flavor text (“crazy song” referring to Looney Tunes, and “bugs” referring to Bugs Bunny).

The first sentence of the flavor text says that both the individual lines have been mixed up (i.e., this is an anaquote puzzle) and that the characters have mixed up their lines (i.e. each character is saying a catchphrase of another character).

Rearrange the IPA trigrams to form a Looney Tunes catchphrase being spoken in the dialect of a different character:

Anaquote Rearranged In the dialect of Original quote Catchphrase of
abw des juw pɪk juw despɪkabw Elmer Fudd You’re despicable Daffy Duck
aɪæ aɪs ɛlf ɪdm ɪnt itu mjʌ nuw pʌm usm ʌvə wəd pʌmɪd mi tu ɪntwədus maɪsɛlf aɪ æm jʌ nu wʌvə Tweety Bird Permit me to introduce myself: I am your new lover Pepé Le Pew
aɪæ dʒi mlə ŋkə ɹnɔ̃ stɪ dʒi aɪ æm lə stɪŋkəɹ nɔ̃ Pepé Le Pew Eh, ain’t I a stinker? Bugs Bunny
aɪs aɪθ ɔəp kæt ppp sss ʊsi θɔt θθθ aɪ θθθθθɔt aɪ ssssɔ ə ppppʊsikæt Porky Pig I thought I saw a pussy cat Tweety Bird
ɑmə biv ɛɹə hʌn ɪtɑ ɪts kwɑ ɹæb sɛɪ tɪn bi vɛɹə kwɑɪt ɑ sɛɪ ɑm əhʌntɪn ɹæbɪts Foghorn Leghorn Be very, very quiet—I’m hunting rabbits Elmer Fudd
ðæt lfo ʪʪɔ ʊkʪ ðætʪʪ ɔl foʊkʪ Daffy Duck That’s all, folks Porky Pig
dgə eəs eɪj əlɔ lut ŋiɹ ɹeɪ ʌəp zja eə seɪ jʌə pɹeɪz jaə lɔŋiɹd gəlut Bugs Bunny Say your prayers, you long-eared galoot! Yosemite Sam
dʒo kaɪ klʊ sɛd sʌn tad tsə uðæ uðæ ʒok u ðæts ə dʒok lʊk aɪ sɛd u ðæt a dʒok sʌn Yosemite Sam That’s a joke, I say, that’s a joke, son Foghorn Leghorn

Order the quotes by chaining the speaker of the catchphrase (starting with Bugs) to the speaker of the anaquote, and use the provided indexes to extract an IPA letter:

Original speaker Indexed IPA letter
Bugs Bunny ɹ
Pepé Le Pew ɛ
Tweety Bird p
Porky Pig t
Daffy Duck a
Elmer Fudd ɪ
Foghorn Leghorn l
Yosemite Sam z

Reading the IPA letters in order yields ɹɛptaɪlz , or REPTILES.