Where does “pine” come from?

pine (Middle Dutch) comes from Latin poenā, from Ancient Greek ποινή, from Proto-Hellenic kʷoinā́, from Proto-Indo-European kʷoynéh₂, from Proto-Indo-European kʷey- — to pay; to avenge.

Ancestry of “pine”, step by step

Step	Language	Word	Meaning
1	Latin	poenā	penalty, punishment
2	Ancient Greek	ποινή	blood money, wergeld; fine, ransom, penalty,...
3	Proto-Hellenic	kʷoinā́	—
4	Proto-Indo-European	kʷoynéh₂	payment; punishment, vengeance
5	Proto-Indo-European	kʷey-	to pay; to avenge

Every word from Proto-Indo-European kʷey- →Every word from Proto-Indo-European kʷoynéh₂ →Every word from Proto-Hellenic kʷoinā́ →