You left out multiple aspects, ' the Supreme Court shall have appellate jurisdiction, both as to law and fact, with such exceptions, and under such
regulations as the Congress shall make.', Congress via law can limit what cases the SC would hear, and we saw a use of power by the SC, when Roberts chose not to be present at the second Impeachment hearing, which creates the ambiguity if it was a impeachment at all.
Especially considering, it states that the Constitution that Chief Justice shall preside over a impeachment, thus the SC was outside the coequal powers of the Constitution, for good or bad.
What’s your point, really?
Clearly there are 3 branches of government.
They are co-equal. They all wield checks and balances on the other 2.
They all have powers that are completely absent from the other 2.