Where does “centerpiece” come from?

I need to work through this carefully, as there's a significant issue with the chain provided. The chain shows: English piece → Middle English pece → Latin centrum → Ancient Greek κέντρον → Ancient Greek κεντεῖν → Proto-Celtic kʷezdis However, "centerpiece" is a compound of "center" + "piece." The chain given traces only "piece," not "center." The chain also appears problematic because Latin "centrum" and Greek "κέντρον" derive from Greek, not the other way around, and connecting them to Proto-Celtic seems unlikely without intermediate steps shown. Given the constraint that I can only state what the chain supports, and the chain as given is incomplete for the compound word "centerpiece," I must note this limitation: Centerpiece combines center with piece, where piece derives from Middle English pece, from Latin centrum, from Ancient Greek κέντρον

centerpiece (English): US standard spelling of centrepiece

Definitions

  1. US standard spelling of centrepiece

Ancestry of “centerpiece”, step by step

centerpiece traces back through two separate lines of ancestry.

via English piece

StepLanguageWordMeaning
1EnglishpieceA part of a larger whole, usually in such a form...
2Middle Englishpecepiece; morsel; bit
3Old Frenchpiecepiece, bit, part; circa 1170, Chrétien de Troyes
4Vulgar Latinpettiapiece, portion
5Latinpettiapiece, portion
6Gaulishpettyā
7Proto-Celtickʷezdispiece, portion

via English Center

StepLanguageWordMeaning
1EnglishCenterThe point in the interior of a circle that is equidistant from all points on the circumference
2Middle Englishcenter
3Middle Frenchcentre
4Latincentrumcenter
5Ancient GreekκέντρονSomething with a sharp point: point, spike, spur;...
6Proto-Hellenic*kéntron
7Proto-Indo-European*ḱéntrompointed tool
Every word from Proto-Celtic kʷezdisEvery word from Gaulish pettyāEvery word from Latin pettia