The speaker Proverbs 8:22 said “The Lord created[1] me the beginning of his way for his works, κύριος ἔκτισέν με ἀρχὴν ὁδῶν αὐτοῦ εἰς ἔργα αὐτοῦ.
Here the word beginning is the head noun of a genitive phrase that is a reference to God’s creation. As αρχή the speaker is the first part of creation, the beginning.
This is parallel to Revelation 3:14 where Jesus is the beginning of what God the Father created. Here too, αρχή is the head noun of the subjective genitive κτισεως του θεού, that unpacks to “God creates.” The Son is the αρχή of what God the Father created. See this post for the analysis and what BDAG says on Re 3:14.
What does the "beginning of creation” at Rev 3:14 mean using a Biblical Hermeneutic?
1 get, acquire (all poetry) : a. of God as originating, creating, קֹנֵה שָׁמַיִם וָאָרֶץ Genesis 14:19,22; Deuteronomy 32:6 (Israel), Psalm 139:13 (כִּלְֹיתָ֑י); Proverbs 8:22 ( חכמה q. v.).
So, Can there be two different beginnings of God's creation, one at Proverbs 8:22 and a different one at Revelation 3:14?
[1] Brown-Driver-Briggs Hebrew Lexicon (BDB) QUANAH GLOSS qal: create; acquire, buy; niphal: be bought; hiphil: sell