Did Jesus Christ have to say, "I am God," to prove that He was God?

For unto us a Child is born, Unto us a Son is given; And the government will be upon His shoulder. And His name will be called Wonderful, Counselor, Mighty God, Everlasting Father, Prince of Peace.

Isaiah 9:6 All things were made through Him, and without Him nothing was made that was made. John 1:3 For by Him all things were created that are in heaven and that are on earth, visible and invisible, whether thrones or dominions or principalities or powers. All things were created through Him and for Him. Colossians 1:16 But Jesus answered them, “My Father has been working until now, and I have been working.” Therefore the Jews sought all the more to kill Him, because He not only broke the Sabbath, but also said that God was His Father, making Himself equal with God. John 5:17‭-‬18 I and My Father are one.” Then the Jews took up stones again to stone Him. Jesus answered them, “Many good works I have shown you from My Father. For which of those works do you stone Me?” The Jews answered Him, saying, “For a good work we do not stone You, but for blasphemy, and because You, being a Man, make Yourself God.” John 10:30‭-‬33 Jesus answered, “My kingdom is not of this world. If My kingdom were of this world, My servants would fight, so that I should not be delivered to the Jews; but now My kingdom is not from here.” John 18:36 And Thomas answered and said to Him, “My Lord and my God!” Jesus said to him, “Thomas, because you have seen Me, you have believed. Blessed are those who have not seen and yet have believed.” John 20:28‭-‬29 And when I saw Him, I fell at His feet as dead. But He laid His right hand on me, saying to me, “Do not be afraid; I am the First and the Last. I am He who lives, and was dead, and behold, I am alive forevermore. Amen. And I have the keys of Hades and of Death. Revelation 1:17‭-‬18 Resources: https://96tolife.blogspot.com/search?q=Deity+of+Christ&m=1 https://www.livinggodministries.net/living_god_ministries/radio_archive/audio_files/gospel_of_john_055_10_24_39_god_is_the_messiah_ext.mp3