Here’s an excellent commentary on the subject in question. (What makes the context of this reference to the perfect so crucial are the multiple allusions to the Second Coming. You’ll see the commentator pull it all together.)
‘The reason that spiritual gifts like prophecy and tongues will come to an end is revealed in 13:9-10. Paul writes, “For we know in part and we prophesy in part; but when the perfect comes, the partial will be done away.” Paul explains that we are limited in our understanding, but this will not always be the case. A time of perfection is coming! The “perfect” refers to the returning of Christ.20 When we recall that 1:7 pointed out the ongoing role of the gifts until the return of Christ, there can be only one possible interpretation of “perfection”—it is the life in the world to come, after Jesus reappears on earth.’
https://bible.org/seriespage/28-love-knows-no-limits-1-corinthians-131-13
Since it was mentioned, here is 1 Corinthians 1:7:
7 so that you are not lacking in any gift, awaiting eagerly the revelation of our Lord Jesus Christ,
... there can be only one possible interpretation of “perfection” ...
The phrase word is not "perfection."
The Apostle uses the word often in his letters as Strong's listed. For example, look at how the word "perfect" is used:
And he gave some, apostles; and some, prophets; and some, evangelists; and some, pastors and teachers; For the perfecting of the saints, for the work of the ministry, for the edifying of the body of Christ: Till we all come in the unity of the faith, and of the knowledge of the Son of God, unto a perfect man, unto the measure of the stature of the fulness of Christ:
...
Brethren, I count not myself to have apprehended: but this one thing I do, forgetting those things which are behind, and reaching forth unto those things which are before, I press toward the mark for the prize of the high calling of God in Christ Jesus. Let us therefore, as many as be perfect, be thus minded: and if in any thing ye be otherwise minded, God shall reveal even this unto you.
Ephesians, Catholic chapter four, Protestant verses eleven to thirteen,
Phillipians Catholic chapter three, Protestant verses thirteen to fifteen,
as authorized, but not authored, by King James