There is sort of a tension between the word "by" and the word "through. I just now found the following article on the two words here:
https://www.neverthirsty.org/bible-qa/qa-archives/question/meaning-of-john-13/ Personally, I think the word "by" is more correct. I base this on Revelation 3:14.
"The Amen, the faithful and true Witness, the Beginning of the creation of God, say this." The Greek word for "beginning" in the verse is "arche." We get our English word "architect" from that word. So what is the function of an architect? The Architect will plan and design or facilitate the making of something. Here is what Strong's Lexicon states on the Greek word "arch/beginning."
https://www.blueletterbible.org/lexicon/g746/kjv/tr/0-1/ Also, Thayer, who was a Unitarian agrees.
IN GOD THE SON,
bluto
So my Greek is not s good as my Hebrew, so I looked it up in the following resources, none of them say "by" they all say "through" the last one is like 3 pages of text som Im not going to post it here and its very complex.
Thayer Definition,
Mickelson's Enhanced Strong's Dictionaries of the Greek and Hebrew Testaments,
Dodson Greek-English Lexicon,
Abbott-Smith's Manual Greek Lexicon of the New Testament and
The Vocabulary of the Greek Testament Illustrated From The Papyri And Other Non-Literary Sources by J. H. Moulton and G. Milligan.
Mickelson's Enhanced Strong's Dictionaries of the Greek and Hebrew Testaments
G1223 διά dia (d̮iy-a') prep.
δι- di- (d̮iy-) [shortened prefix]
1. through.
2. throughout.
3. on account of (that thing).
4. (of time) after (i.e. through the fullness of or completion of).
5. (as a prefix) thorough, thoroughly.
{in very wide applications, local, causal, or occasional}
[a primary preposition denoting the channel of an act]
KJV: after, always, among, at, to avoid, because of (that), briefly, by, for (cause) ... fore, from, in, by occasion of, of, by reason of, for sake, that, thereby, therefore, X though, through(-out), to, wherefore, with (-in). In composition it retains the same general importance
Thayer Definition:
Compare: G575, G1537
διά
dia
1) through
Dodson Greek-English Lexicon
G1223
διά
PREPosition
through, on account of
Abbott-Smith's Manual Greek Lexicon of the New Testament
διά (before a vowel δι᾽, exc. Rom 8:10, 2Co 5:7, and in pr. names; Tdf., Pr., 94), prep. c. gen., acc, as in cl.;
1. c. gen., through;
(i) of Place, after verbs of motion or action: Mat 2:12; Mat 12:43, Mar 2:23, Luk 4:30, Joh 4:4, 2Co 11:33, al.; σώζεσθαι (διασ-) δ. πυρός, ὕδατος, 1Co 3:15, 1Pe 3:20; βλέπειν δ. ἐσόπτρου, 1Co 13:12; metaph., of a state or condition: Rom 14:20, 2Co 2:4; 2Co 5:7; 2Co 5:10; δ. γράμμος, ἀκροβυστίας (Lft., Notes, 263, 279), Rev 2:27; Rev 4:11; δι᾽ ὑπομονῆς, Rom 8:25.
(ii) Of Time;
(a) during which: Mat 26:61, Mar 14:58, Luk 5:5; δ. παντὸς τοῦ ζῆν, Heb 2:15; δ. παντόν (διαπαντός in Mar 5:5, Luk 24:53), always, continually, Mat 18:10, Act 2:25 (LXX) Act 10:2; Act 24:16, Rom 11:10 (LXX), 2Th 3:16, Heb 9:6; Heb 13:15;
(b) within which: Act 1:3; δ. νυκτός, Act 5:19; Act 16:9; Act 17:10; Act 23:31;
(c) after which (Field, Notes, 20; Abbott, JG, 255 f.): Mar 2:1, Act 24:17, Gal 2:1.
(iii) Of the Means or Instrument;
(1) of the efficient cause (regarded also as the instrument): of God, Rom 11:30, 1Co 1:9, Gal 4:7, Heb 2:10; Heb 7:21; of Christ, Rom 1:8; Rom 5:1; Rom 5:17, 1Co 15:21, 1Pe 4:11, al.; δ. τ. ὑμῶν δεήσ-εως, Rom 1:12, 2Co 1:4, Gal 4:23, al.;
(2) of the agent, instrument or means;
3. In composition,
(1) through, as in διαβαίνω;
(2) of separation, asunder, as in διασπάω;
(3) of distribution, abroad, as in διαγγέλλω;
(4) of transition, as διαλλάσσω;
(5) of "perfective" action (M, Pr., 112 f., 115 f.), as διαφύγω, διακαθαρίζω.
Δία, acc of Ζεύς, q.v.
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