The label doxology only appears twice in the ESV bible, first in Romans 16 and then at the end of Jude.

Doxology

²⁵ Now to him who is able to strengthen you according to my gospel and the preaching of Jesus Christ, according to the revelation of the mystery that was kept secret for long ages ²⁶ but has now been disclosed and through the prophetic writings has been made known to all nations, according to the command of the eternal God, to bring about the obedience of faith— ²⁷ to the only wise God be glory forevermore through Jesus Christ! Amen.

Doxology

²⁴ Now to him who is able to keep you from stumbling and to present you blameless before the presence of his glory with great joy, ²⁵ to the only God, our Savior, through Jesus Christ our Lord, be glory, majesty, dominion, and authority, before all time and now and forever. Amen.

International Standard Bible Encyclopaedia

Doxology:

dok-sol’-o-ji (doxologia, “a praising,” “giving glory”): A hymn or liturgical formula expressive of praise to God, as the Gloria in Excelsis (an expansion of Lu 2:14), sometimes called the Greater Doxology, and the Gloria Patri (“Glory be to the Father, and to the Son, and to the Holy Ghost, world without end, Amen”) also known as the Lesser Doxology.

To the same general class belong Ps 41:13; 72:18 f; 89:52; Ro 16:27; Eph 2:20; 1Ti 1:17; Jude 1:25; Re 5:13 f; 19:1-3, and the modern stanza beginning “Praise God, from whom all blessings flow.”

Those labels are not in the original manuscripts. We don’t need to label it to do it.

Jude 1:5 Now I want to remind you, although you once fully knew it, that Jesus, who saved a people out of the land of Egypt, afterward destroyed those who did not believe.

“Jude 1:5 is the clearest direct statement, but it aligns with a consistent biblical theme: the same divine person (the Son, pre-incarnate Christ) who delivered Israel physically from Egypt is the one who saves believers spiritually through His work. Paul’s identification of Christ as the sustaining Rock in 1 Corinthians 10 is the strongest parallel. Early church interpreters and many modern ones read the Exodus through this Trinitarian/Christological lens.”

Quoted from Affinity

Another way of looking at this is that Jesus is the eternal God, is and always has been included in every decision and action. 

John 1:1 In the beginning was the Word, and the Word was with God, and the Word was God.

John 14:9 Whoever has seen me has seen the Father.

John 17:5 And now, Father, glorify me in your own presence with the glory that I had with you before the world existed.

Exodus 33:11 Thus the Lord used to speak to Moses face to face, as a man speaks to his friend.

It is not unreasonable that Paul should write to Jude about Jesus being responsible for Israel’s delivery out of Egypt. As Paul tells Jude in verse 5, this is but a reminder of what Jude fully believed and understood.