Where does “πολεμησείω” come from?

πολεμησείω (Ancient Greek) comes from Ancient Greek πολεμέω, from Ancient Greek -έω, from Proto-Indo-European -éyeti, from Proto-Indo-European -yeti — Creates transitive imperfective verbs from roots.

Ancestry of “πολεμησείω”, step by step

Step	Language	Word	Meaning
1	Ancient Greek	πολεμέω	to make war, be at war, fight, quarrel
2	Ancient Greek	-έω	Used to form verbs from nouns, adjectives and...
3	Proto-Indo-European	-éyeti	Forms causative imperfective verbs from roots;...
4	Proto-Indo-European	-yeti	Creates transitive imperfective verbs from roots

Every word from Proto-Indo-European -yeti →Every word from Ancient Greek -έω →Every word from Proto-Indo-European -éyeti →