"Spirit of holiness": רוּחַ קָדְשׁוֹ behind Rom 1:4

Says Ps 51:11 (MT 51:13; LXX 50:13) prays וְרוּחַ קָדְשְׁךָ (veruakh qodshekha, "and your Holy Spirit") אַל־תִּקַּח מִמֶּנִּי (al-tiqqakh mimmenni, "do not take from me"). Isa 63:10 says Israel grieved רוּחַ קָדְשׁוֹ (ruakh qodsho, "his Holy Spirit"), whom God set among them (63:11, הַשָּׂם בְּקִרְבּוֹ אֶת־רוּחַ קָדְשׁוֹ, hassam beqirbo et-ruakh qodsho). OSHB: construct noun + noun with 3ms suffix. The suffix belongs to the whole chain, and the second noun works as an attributive genitive: "the spirit of his holiness" means "his holy Spirit." Ps 2:6 הַר־קָדְשִׁי (har-qodshi, "my holy mountain") is the same idiom.

Says Swete's LXX uses the adjective: τὸ πνεῦμα τὸ ἅγιόν σου (Ps 50:13), τὸ πνεῦμα τὸ ἅγιον αὐτοῦ (Isa 63:10, where A omits αὐτοῦ), and ὁ θεὶς ἐν αὐτοῖς τὸ πνεῦμα τὸ ἅγιον (63:11). Swete has ἁγιωσύνη five times, Pss 29:5; 95:6; 96:12; 144:5 (ENG 30:4; 96:6; 97:12; 145:5) and 2 Macc 3:12 (non-canonical), never with πνεῦμα. Rom 1:4 κατὰ πνεῦμα ἁγιωσύνης is Paul's wording, closer to the Hebrew genitive. Charles renders T. Levi 18:11 (non-canonical) "the spirit of holiness shall be on them."

Implies In all three uses the phrase names God's own Spirit, so the idiom favors a reference to the Holy Spirit in Rom 1:4 (cf. 8:11).

Uncertain Interpreters differ: is it (1) the Holy Spirit, by whom the Son was declared at the resurrection; (2) Christ's divine nature, set against κατὰ σάρκα; or (3) Christ's own spirit, marked by holiness? The Hebrew background favors (1); all three affirm the Son's deity.