Also to be honest, even humans, smart ones, can be clueless with JUST 2 PEOPLE TALKING, bc some authors give 0, niet nothing, of an indicator of who talk where.
I've seen that. To indicate that the character is still speaking, you need to leave the "" open in the end.
Like this:
"Blablablablabla
"Blablabla! Bla! Baal!"
AI is like a 5year old child that need to learn.