So you're saying that this is incorrect?
The first 2 Greek words are rendered rightly. But the next 2 have subtle errors. It should be "In the beginning, it was, a word and...". (h)hn like all greek verbs have subjects just like pronouns 1,2,3 person plural and singular. The article is only attached before any name or noun to deemphasize it. Next is "a word, and a word it with a god." The god created the word which is nothing more than a statement in language. Next is "And the god it is, a word a thing it was in the beginning with a god." The god is the word YaHWeH, but only one of many words.
The word is not defined by fire as mistaken by Justin Martyr. Nor is a flaming Phoenix aka Pteradon like
Clement of Rome believed. Nor is the word Jesus as Ignatius and
Ireneaus believed, in spite of what
Polycarp tried and lied to correct.
Thus
Polycarp got it most correct, but we don't know enough about him. And Clement and Justin combined unitarianism with pre-millinialism and stoicism
The term
logoi exists in Koine. So there is not one of them.