Don't waste your time, she obviously doesn't care about her neighbours

... so many ways to deal with the problem.

She probably wants everyone to hear how exciting her life is. Rather a common phenomenon among low IQ people. I would either blast metal or rap music, turn a hose on her, or go out there and have noxious, profanity-riddled convos of your own in a mocking manner (preferably after dark). Also, some balcony-dwellers don't like marijuana smoke blown in their direction, for some reason.

My thoughts exactly

You're the worst

It's a form of exhibitionism. Be glad it doesn't involve nudity. Let her know anonymously.

A note is in order that just gently mentions that you have noticed her behaviour and that you want to make her aware of how it impacts her neighbours. Thank her in advance for being more mindful in the future. From someone who has had to confront terrible neighbours, take it from me: stern but friendly works in everyone's favour. If that fails, just start answering her one sided conversation with silly (but PG) responses. If she wants to keep talking, she'll have to go back into to her dwelling.

Get tired of that too. I'd pretend to have my own balcony telephone conversations.

Invite her over for dinner. Make a friend out of her. Then, when she's least expecting it, BAM! The old fork in the eye!