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You are correct to sense some confusion here.
Jesus is not God, so that removes the apparent paradox regarding authority.
There are many reasons why Jesus cannot be God. Being given authority is but one.
But so that you may know that the Son of Man has authority on earth to forgive sins”—then He *said to the paralyzed man, “Get up, pick up your stretcher and go home.” 7And he got up and went home. 8But when the crowds saw this, they were awestruck, and they glorified God, who had given such authority to men. Matt 9:6-8
Some other reasons why Jesus is a man only and not God;
The bible teaches Jesus is a man
that's why he can be tempted - in all things Heb 4:15 (God cannot be tempted James 1:13)
that's why he can die - God sent His only son... John 3:16, God is immortal 1 Tim 6:16
that's why he will inherit everything (which is odd if he allegedly made everything) Hebrews 1:2
that's why we're 'told' he is a man - John 8:40 a man who has spoken the truth that I heard from God (in his own words) Rom 5:15, Acts 2:22, Acts 17:31, 1 Tim 2:5
that's why he was foreknown by God 1 Pet 1:20
that's why he is the last Adam (which makes him human) 1 Cor 15:45
that's why he had a God - the same God as everyone else Rom 15:6, John 20:17
that's why the NT tells us repeatedly that Jesus is not = to the Father - in anything!
that's why he had to grow in wisdom learning obedience through suffering Luke 2:52, Heb 5:8
that's why he could do nothing of himself - even his words were the Father's John 5:19
Whether Jesus is 'in the flesh' - mortal before his death, or immortal after his resurrection, Jesus is still subordinate to God and indeed has a God as we all do. God has granted Jesus all authority to give life, to judge, to be mediator between God and men (1Tim 2:5) and several other things.
To think that Jesus is God with the above sampling of very clear references of him not able to be God, these verses must be interpreted in very a disharmonious manner and not simply read as intended.