I've been transcribing this video.
At 7:33, there's this sentence,
I wonder what かき means here, or if it serves some grammatical function? Thank you!
This かき is a nominalized form of the verb 掻く【かく】, which means "to scratch", "to paw", "to paddle (in the water)", "to plow (snow)", etc. 犬かき refers to a certain swimming method, and 猫かき is a parody of it (i.e., the word 猫かき is basically a joke).