That breaking point is pretty far. Anakin likes arguing with new people, and Elesse hasn't exactly gone easy on her. She needs to take deep breaths sometimes, calm herself down - or at least head off getting too involved in a point she doesn't actually feel is worth her passion here. She's set up a habit of regularly pausing and reorienting, one that's still externally apparent but that she's also clearly working on smoothing out. She keeps her focus under stress, though, and she integrates new information and views quickly.
She's having fun, actually, and that helps her keep going, helps her focus and avoid mental exhaustion - though not eternally.
The Council members do eventually tire her out though, even beyond the small points where she's paused and back tracked an argument to acknowledge she doesn't have the information or thought put into something she needs for a judgement she endorses on various edge cases and counterpoints. (She sometimes has to back up a decent bit, and she sometimes says things she doesn't endorse at all - but she catches those quickly, and she's decent at not trying to twist around her own words. Good at saying she spoke unclearly, pausing, and rewording, rather than getting stuck on having been misunderstood.)
She acknowledges she's tired and can't realistically keep going before the technical absolute limit of her focus - but right after the point she realizes she's making cognitive mistakes more than she likes, and she also verbalizes that distinction.
She's hardly at a knight or master's level of self knowledge and moral sophistication, but she's exceptionally good for her age - compared to those outside of the Temple, of course, but even to those within, just with a smaller margin from the average. She has an extremely unusual breadth and depth of knowledge about philosophy as a field, extending throughout and outside of Jedi teachings. And, while she supports her arguments on their own merits first and foremost, she also references other philosophies readily when answering questions or elaborating.