From the Basic Rules (emphasis mine):
When you take the Dodge action, you focus entirely on avoiding attacks. Until the start of your next turn, any attack roll made against you has disadvantage if you can see the attacker, and you make Dexterity saving throws with advantage. You lose this benefit if you are incapacitated or if your speed drops to 0.
I'm slightly confused that two benefits are listed, but the last sentence uses the singular. Am I splitting hairs here, or does this suggest that only the last named benefit (advantage on dex saves) is lost in this case? Which effect does the Dodge action still have when you are incapacitated or your speed drops to 0?
I'm fairly certain that the answer should be "none" (especially since this makes by far the most sense narratively), but it would be nice to have some clarification. I find this wording confusing, because it could have easily been rephrased to be completely unambiguous, but apparently that has not been done in any reprint so far. Note however that English is not my first language, a native speaker explaining why this is not as ambiguous as I think would also be an acceptable answer.