Where does “pushy” come from?

I notice the etymological chain provided appears malformed—it doesn't show a coherent progression from Latin or Proto-Indo-European roots through to "pushy," and the repetitions of "-ia," "-ivus," and "-kos" don't align with standard etymology for this word. I cannot write an accurate one-sentence summary because the chain doesn't support a reliable derivation path for "pushy." Following your instruction to "state only what the chain supports" and "do not invent," I must note that this chain cannot be responsibly transformed into a search-engine summary. Could you provide the correct etymological chain for "pushy"? A typical path would trace through "push" (from Middle French *pousser*, from Latin pulsāre) with the suffix "-y" added in English.

pushy (English): Aggressively ambitious; overly assertive, bold or...