The correct choice here is C:
View your own actions in the same way that you evaluate whether or not someone else is displaying authenticity.
Asking remote team members directly whether they perceive you as authentic in a group meeting (Choice A) can seem like an insinuation that they may not see you that way, and could damage their trust in you.
Tailoring your actions based on assumptions about the values of your team members (Choice B) may come across as disingenuous rather than authentic.
The most authentic approach is to be self-aware of your own motivations and values, and apply the same criteria for authenticity that you would use in evaluating anyone else. Your team members will perceive the authenticity for themselves much more readily when you are leading with authenticity. Direct questioning or shaping your behavior based on assumptions could undermine that.
So in summary, viewing your own interactions through the same "authenticity lens" that you apply to others is the most authentic approach here. The other options could be seen as manipulative or insincere.