I just asked it and it said that it uses the on device TTS capabilities.
> As of May 29th, 2025, we have added ElevenLabs, which supports text to speech functionality in Claude for Work mobile apps.
Tracked down the original source [2] and looked for additional updates but couldn't find anything.
[1] https://simonwillison.net/2025/May/31/using-voice-mode-on-cl...
Also it being right doesn't mean it didn't just make up the answer.