Sure, from a pure logic perspective the second statement is not connected to the first sentence, so drawing logical conclusions isn't feasible.
In everyday human language though, the meaning is plain, and most people would get it right. Even paid versions of LLMs, being language machines, not logic machines, get it right in the average human sense.
As an aside, it's an interesting thought exercise to wonder how much the first ai winter resulted from going down the strict logic path vs the current probabilistic path.
>you want to go to the car wash is to help your buddy Joe wash HIS car
nope, question is pretty clear, however I will grant that it's only a question that would come up when "testing" the AI rather than a question that might genuinely arise.