There is no such apostle as "Jude Thaddaeus" unless you conflate two disparate names, Jude and Thaddaeus.

Matthew 10:1-4 has "Thaddaeus   (Other ancient  authorities read  Lebbaeus, or  Lebbaeus called  Thaddaeus)"
Mark 3:13-19 has "Thaddaeus"
Luke 6:12-16 has "Judas son of James"
Acts 1:13 has "Judas son of James (Or the brother of)"
Jesus had a brother Judas and a brother James (Mt 13:55, Mk 6:3), plus with the confusion over the various James, who was Jude really? . . . .NRSV
The Talpiot tomb had a bone box labeled 'Judah son of Jesus'