OP, hey hey, Broca's area isn't for inner speech. it's actually for fluency in the language. if you get it lesioned, you see people that can speak, but that speak incredibly slowly.
There's another language center called Wernicke's, and if you lesion that, the person makes no fucking sense when they speak. it's like they don't understand the question. but they do speak fluently.
about pic: SLF is what links the both of them.
last point is what happens if both are knocked out.