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初めてコンビニのコーヒー買って止まってたら爺さんが…
→ “I bought coffee at a convenience store for the first time, stopped up, and then an old man went...”
初めて hajimete = first time (adverb)
コンビニ konbini = convenience store (noun)
の no = of / possessive marker (particle)
コーヒー kō¹hī¹ = coffee (noun)
買って katte = buying / bought (v.)
買 ka = buy
って tte = te-form connector
止まって tomatte = stopping / stuck (v.)
止 to = stop
まって matte = te-form connector
たら tara = when / if (conditional particle)
爺さん ojiisan = grandpa / old man (noun)
爺 oji = grandfather
さん san = honorific suffix
が ga = subject marker (particle)
… = ellipsis (punctuation)