Where does “kanapék” come from?

kanapék (Hungarian) comes from Hungarian kanapé, from German Kanapee, from French canapé, from Old French conopé, from Medieval Latin canāpēum, from Latin canopeum, from Latin cōnōpēum, from Ancient Greek κωνωπεῖον — to divide, distribute, allot.

Ancestry of “kanapék”, step by step

Step	Language	Word	Meaning
1	Hungarian	kanapé	canapé
2	German	Kanapee	canapé; hors d'oeuvre; canapé; sofa; couch
3	French	canapé	sofa
4	Old French	conopé	—
5	Medieval Latin	canāpēum	—
6	Latin	canopeum	mosquito net
7	Latin	cōnōpēum	mosquito net
8	Ancient Greek	κωνωπεῖον	an Egyptian couch with mosquito netting
9	Ancient Greek	κώνωψ	gnat, mosquito
10	Ancient Greek	φάγος	glutton
11	Ancient Greek	φαγεῖν	aorist active infinitive of ἔφαγον
12	Proto-Indo-European	bʰh₂g-	—
13	Proto-Indo-European	bʰeh₂g-	to divide, distribute, allot

Every word from Proto-Indo-European bʰeh₂g- →Every word from Proto-Indo-European bʰh₂g- →Every word from Ancient Greek φαγεῖν →