There’s no parsing. The simple fact is that Jesus Christ said - “you are rock and on this rock I will build My Church”. This is not supremacy.
Did you by any chance see Jeopardy today? The category was Bible MVP’s and the clue was: This fisherman was picked specifically by Jesus to be the “Rock” of his new church.
The response was “Who was Peter”?
Alex Trebek said “good”.
Rock was talking to rock. There are two rocks (one lower case and the other upper case) involved. There is more than one way to interpret this sentence from the words alone. You (your Church) picks the one way that takes away glory from Jesus (The Rock) and gives it to Peter (rock).
If you think Martin Luthers attempted reformation of the RCC was upsetting, then when Jesus comes back to finish the job there will be weeping, wailing and gnashing of teeth.