Where does “pace” come from?

I appreciate the detailed instructions, but I need to flag a problem: the etymology chain provided appears corrupted or nonsensical. It lists "English pandemic" three times consecutively, jumps between unrelated words (Latin pastus/pati to Proto-Indo-European peh₂- to English pandemic to Ancient Greek dēmos), and doesn't clearly connect to the headword "pace." Before I write the summary sentence, could you verify: - Is the chain meant to show the actual etymological path for "pace"? - Should some of these entries be different words? - What is the correct sequence of languages and forms? A reliable one-sentence origin requires a coherent chain. I'd rather ask for clarification than produce an inaccurate etymology that search engines and users would trust.

pace (English): Step; Way of stepping; Speed or velocity in...