OK. Thank you that makes sense I agree, with the above.

So it all checks out with the Apocalypse, now we have to look closer at what the explanation is for this beast...

Yes, and the basis for that explanation is found in Fr. Palau's book, but also and primarily in Daniel, the Apocalypse and  4 Esdras. All of these works are talking about the same entities and the same events. So we must tease out the essential core of events and put together the unique puzzle pieces that each description provides. Then the picture will come into better focus. 

I am happy to go through it with you and tell you what I have found.

The biggest hurdle to overcome is the tendency to think of these apocalyptic scenarios as referring to secular, geo-political events and people. That is fundamentally incorrect. These prophetic works are concerned with the Roman Catholic Church in the time just before the Second Coming.

The prophetic veil uses the symbols like wars and swords and kings and beasts in a figurative way to hide the fact that the subject matter is the final battle taking place between "the woman" and "the serpent." The woman is at once the faithful remnant Church and the Virgin. The serpent is Satan and his possessed agents working inside the Church to destroy it. These agents are ultimately the Antichrist and False Prophet, but also the antichrists and false prophets who prepare the way for these last demonic manifestations. And these are real people, the Cardinals and Bishops primarily, but also the Popes who allow themselves to be influenced by those demonic Cardinals and Bishops.

Do you think the following part of Fr. Palau's vision (below) fits the above description:

4. I looked towards the earth and I saw another beast. And this third one was like a lamb; it had the fleece and horns of a lamb, and the inhabitants of the earth believed that it was Christ, the Lamb of God; and I, at first sight, thought the same, but looking carefully, I saw that it had claws like a lion, and teeth like a wolf, and it blasphemed like the dragon, It received power like the beast with the seven heads and with great, marvellous signs made all the inhabitants of the earth adore the first beast.

-Do you understand the mystery of the second beast the angel asked me.

-No.

-That second beast is all the kings who say they are Catholics but are not, and united with one body with the people they govern, they speak like demons against Christ and his Church, and form a league with all the others in the war against God. To these powers, represented in their horns, are united all those Christians who are such only in appearance, but who in reality have neither faith nor true charity; and these are the ones who mixed  with the just, stir up cινιℓ ωαr, which is all the more cruel, because disguised like the lamb they enter the sanctuary of God, and fill it with abominations; and this is the body of this beast which fights from within the first attacks from without. This beast is the one which makes use of all the arts of magic, associated like the first with the dragon, and produces marvellous cures in the human body; it is the one who hides for the time being in magnetism and spiritualism [Dn. 9 -27, Rv 17, 4: 21-27; Mt 7,15], and the one who when discovered will imitate the mission of the Prophet Elijah and Eunuch with apparent miracles. And with these signs all the peoples of the earth will fall at the feet of the first beast, and no one will escape corruption.

https://www.magisterium.com/search/f1856f72-0f17-4585-ad08-150c4bfe60f8


Notice the last point it makes HERE ^.

This is one reason Fr. Palau's writings matter. Like you said, "another piece of the puzzle."