MIT Mystery Hunt 2020/Baby Shower Balloon

Baby Shower Balloon is a physical puzzle from the round of the 2020 MIT Mystery Hunt.

Puzzle Elements
Physical - Teams were asked to submit a phrase that would prompt a visit from the Balloon Vendor, who would deliver a single balloon.

Identification (Zoology) - The animals must be identified... or rather, the specific term for an animal of the gender indicated by the color must be identified. The single pink swan, for example, is a PEN.

Indexing - Each type of confetti occurs some number of times. These are indices.

Reordering (Size) - The confetti also has variously-sized "eyes" punched into each piece. Order the letters by increasing eye size to get...

Final Clue Phrase - ...RAPPER'S HOUSE, which clues a thematically appropriate answer.