No you do not - at least not technically! I had to look into this at work. I looked at WebEx, Teams, and Zoom - all three let auto-transcribe just roll. I think on one of them it gives a quick popup saying it's transcribing but no consent required. Contrast with audio/video recording where Zoom lets you either consent or leave the meeting. I asked our legal counsel and they said it's kind of iffy whether live auto-transcription counts as recording - didn't seem like a settled matter.
The big difference here is that in such a scenario all of the participants explicitly use the Teams or Zoom and they're technically "getting notified about recording" in the terms and conditions of Teams or Zoom telling that Microsoft or Zoom is getting the recordings which they got when starting to use Teams or Zoom. However, in that bot scenario, none of the other participants are users of otter.ai, have no relationship with them and so can't grant any permissions.
Depends on the jurisdiction. In many states you only need 1st party consent to record a call. If you're ON the call (as opposed to say, wire taping it...) you're your own first party.
I think as long as you notify people and give them the opportunity to disconnect that's generally considered consent, as with 800 numbers where they tell you calls are recorded for quality assurance or whatever.