If no one is going to reply I"ll put my 2 cents in.
To place it in a nut shell “less the endless debate”
the answer is sola catholic church to all 5.
You start with the CC version of Mat 16:18 and interpret the NT threw this lens in spite of all the contrary evidence. The CC will never say otherwise, its locked itself into a trap of its own making, claiming that it is infallible. No amount of evidence will ever change this, it will take God Himself.
Just look into the tread Geocentric Universe. Like I said no amount of evidence will change the statement it made about the earth being the center of the solar system, simply because of the box they have made for themselves. I am of the opinion after reading many topics in the Apologetics forum that catholics are all over the board when it comes to what they actually believe. An example is Gen some say it literal some say its figurative or symbolic, yet the common denominator is they all claim the CC is perfect “infallible”. Quote the CC is the complete deposit of salvation aside of it there is no salvation.
As the CC has moved into modern times and mans understanding and literacy has sky rocketed the CC has remanded very quite since the mid 1800s, since the Mary doctrine became dogma. It has even attempted to smooth over some of the old wounds in Vatican II, even shallow apologizes threw John Paul with language that doesn’t compromise there infallible position. What I find amazing is in all the difference of opinions about what the CC really teaches among its members, it could all be resolved in this modern day, all the pope has to do is stand up and open his mouth but he doesn’t, why

I believe it would cause to great a division and chaos in the CC. Apparently its better to just let the members wade threw the cataclysm and express as many different opinions as they claim their are protestant churches. Protestants understand that differences in opinions between men will always be present even when it comes to God but they embrace the foundation principals of the 5 solas of the Reformatiom. The CC rejects them all.
3 Sola gratia (“by grace alone”)
For by grace you have been saved through faith, and that not of yourselves; it is the gift of God, 9 not of works, lest anyone should boast. Ephesians 2:8
4 Solus Christus or Solo Christo (“Christ alone” or “through Christ alone”)
For there is one God and one Mediator between God and men, the Man Christ Jesus, 1 Timothy 2:5
Its between you and Jesus in the Holy Spirit. Its not you threw the pope, Mary or some priest then Jesus. Or even some special place or RCC as Jesus told this woman. Men worship in the Spirit directly threw Jesus, this is what is pleasing to the Father.
5 Soli Deo gloria (“glory to God alone”)
I could comment on this a lot but lets just say giving thanks and “veneration” to Mary and others for interceding see the above verse in #4. Also taking what is Jesus alone and applying it to your own personal office. The CC claims with out them the written word of God “the bible” would not exists.
Heaven and earth will pass away, but My words will by no means pass away. Matthew 24:35