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Peter denied Jesus 3 times. That means Peter lied 3 times that he did not know Jesus.

It is written...Matthew 10 32 Whosoever therefore shall confess me before men, him will I confess also before my Father which is in heaven.

33 But whosoever shall deny me before men, him will I also deny before my Father which is in heaven.

Will Jesus honor His word and deny Peter to God His Father?

John 6:70 Jesus answered them, Have not I chosen you twelve, and one of you is a devil?

Matthew 16:23 But he turned, and said unto Peter, Get thee behind me, Satan: thou art an offence unto me: for thou savourest not the things that be of God, but those that be of men.

Is Satan the devil whom Jesus referred to Peter or was Jesus referring to Peter as Satan the devil?

Peter was forgiven. Satan entered into Judas. Peter was acting like Satan opposed to God's plan in that moment.

"Lk 12:9 he who denies Me before men. This describes a soul-damning denial of Christ—not the sort of temporary wavering Peter was guilty of (22:56–62)—but the sin of those who through fear, shame, neglect, delay, or love of the world reject all evidence and revelation and decline to confess Christ as Savior and King, until it is too late...

Jn 6:70 a devil. The word “devil” means “slanderer” or “false accuser.” The idea perhaps is better rendered “one of you is the devil.” This meaning is clear from 13:2, 27; Mark 8:33; Luke 22:3. The supreme adversary of God so operates behind failing human beings that his malice becomes theirs (cf. Matt. 16:23). Jesus supernaturally knew the source and identified it precisely. This clearly fixes the character of Judas, not as a well intentioned but misguided man trying to force Jesus to exert His power and set up His kingdom (as some suggest), but as a tool of Satan doing unmitigated wickedness (see notes on 13:21–30)...

Mt 16:23 Get behind Me, Satan! The harshness of this rebuke contrasts sharply with Christ’s words of commendation in vv. 17–19. Jesus suggested that Peter was being a mouthpiece for Satan. Jesus’ death was part of God’s sovereign plan (Acts 2:23; 4:27, 28). “It pleased the Lord to bruise Him” (Is. 53:10). Christ had come with the express purpose of dying as an atonement for sin (John 12:27). And those who would thwart His mission were doing Satan’s work." MacArthur, J., Jr. (Ed.). (1997). The MacArthur Study Bible (electronic ed., pp. 1423–1424). Nashville, TN: Word Pub.

As a reminder Word is number 46 on Satan, Inc. (TOL Heretics list) in "The 'Jesus is not God' people (Non-trinitarians) category.