Is the word "greeted" in Luke 1:40 the same "greetings" in Luke 1:41?

Searching from different bible translations, I had looked deeply into Douay-Rheims version. > "And she entered into the house of Zachary, and saluted Elizabeth." - Luke 1:40 From this passage, we can see that it ends with a period. This event is finished. A casual greetings can be inferred on this passage and nothing much, it's like Mary saying "Hi! or Hello!" to Her cousin Elizabeth, who knew nothing, about what happened to Mary in the annunciation and Her, having conceived the Messiah. Moving on to next verse... > And it came to pass, that when Elizabeth heard the salutation of Mary, the infant leaped in her womb. And Elizabeth was filled with the Holy Ghost: And she cried out with a loud voice, and said: Blessed art thou among women, and blessed is the fruit of thy womb. And whence is this to me, that the mother of my Lord should come to me? - Luke1:41-43 The word ***"and it came to pass"***, meaning, this event is separated from v.40, where the casual greetings occured. This salutation is much different, it delivered a profound effect on the child in the very womb of Elizabeth, who never knew the Blessed Virgin Mary. The greeting in v. 40 compare to v. 41 can be seen as two separate events. Luke described that it was Elizabeth who heard the salutation and not the infant in her womb. Elizabeth was overjoyed, cried out in a loud voice...this unexplainable feelings was then felt by the child in her womb, that made the infant leaped, as if he shared in the joy that Elizabeth her mother was experiencing at that very moment, that made him leaped. Could it be, that the ***"greetings or salutation"*** that Elizabeth heard at that moment from Mary while praying, is the **Magnificat**. Hearing the words from the Magnificat, was the cause, and the instrument that made her filled with the Holy Spirit. Because Mary's Magnificat was uttered, having overshadowed by the Holy Spirit, the very words of Mary are inspired by the Holy Spirit, to praise the Father in spirit and truth. Elizabeth heard Mary's Canticle, and had realized that Mary was pregnant with the Messiah, and hearing Mary saying, ***"All generations shall call me blessed..."***, Elizabeth reacted,and she is the first one who praised Mary, saying ***"blessed are you among women..."***, and also the first one who proclaimed ***"Jesus is Lord"*** by the inspiration of the Holy Spirit, recognizing, the child as her Lord, the way she knew the Lord as the chosen People of God, addressed God in the Old Testament. John the Baptist in Luke1:15 had been prophesied to be filled with the Holy Spirit in the womb of his Mother, and Luke's gospel described the moment, how it happened in v.44 > *For behold as soon as the voice of thy salutation sounded in my ears, the infant in my womb leaped for joy.* - Luke 1:44 From the discernment above, we can see that the *"greetings"* in Luke 1:40 is different from the *"greetings"* in Luke1:41, the two greetings are a separate event. The other is obviously a casual greeting and the other is a mysterious greetings. In view of the above, I am looking for a commentary or writings from Catholic sources or Christian sources,biblical even extra-biblical showing that the "greetings" in Luke 1:40 and Luke 1:41 is a separate event and different from each other. Elizabeth didn't need to hear Mary's Magnificat to know that she was pregnant with the Lord. Elizabeth was filled with the Holy Spirit, who was perfectly capable of conveying that knowledge. Elizabeth's intuition was very manifest here.