In the Lourdes apparition in 1858, the young Bernadette asked a question to a Lady in her vision, saying....
"Who are you?"
The Lady answered, "I am the Immaculate Conception".
Was the answer pertaining to a Divine Person speaking before Bernadette?
Was the Lady introduced Herself as a Divine Being?
Note: The Dogma of the Immaculate Conception is not about a Divine Person, but how the Blessed Virgin Mary was conceived, as the dogma clearly stated,
"...at the first instance of conception, Mary was free from all stain of original sin..."
What Is the Immaculate Conception?
The Immaculate Conception is a Catholic dogma that states that Mary, whose conception was brought about the normal way, was conceived without original sin or its stain. That’s what “immaculate” means: without stain.
https://www.catholic.com/tract/immaculate-conception-and-assumption
Clearly, the dogma is not referring to a Divine Person, but describing how Mary was conceived free from original sin and its stain.
Now back to specific question.
The young Bernadette asked, "Who are you?"
Clearly, this is asking who is the person that she was seeing, and not how this person is conceived.
So, when the Lady in the vision answered,
"I am the Immaculate Conception"
Was the Lady introducing a Divine Being, a different being from Herself?