If you are willing to consider a very unusual alternative translation of Micah 5:1 and the word usually translated as "his origins" or "his goings forth", you could look at my self-published book's excerpts in Volume 4, pages 28 (bottom) to 34. I think the quote is connected to Micah 4:8 and the word really says "his caused to go forth ones" (his brought forth ones) hophal feminine plural present tense or participle if you prefer that. I translate Micah 4:8 differently and show that it might be connected to Micah 5:1. These alternative translations are for people who like very unusual alternative translations.
I think Micah 5:1 could say "and will come (to) Bethlehem Ephrata a youth to be among the thousands of Judah. From you to Me, he will go forth to be a ruler in Israel, and his caused to go forth ones (his brought forth ones) are from the past, from days of old..."
5:1וְאַתָּ֞ה בֵּֽית־לֶ֣חֶם אֶפְרָ֗תָה צָעִיר֙ לִֽהְיוֹת֙ בְּאַלְפֵ֣י יְהוּדָ֔ה מִמְּךָ֙ לִ֣י יֵצֵ֔א לִֽהְי֥וֹת מוֹשֵׁ֖ל בְּיִשְׂרָאֵ֑ל וּמוֹצָאֹתָ֥יו מִקֶּ֖דֶם מִימֵ֥י עוֹלָֽם׃
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I think the brought forth ones in Micah 5:1 are the daughter of Zion and the first government or kingdom that are mentioned in Micah 4:8.