Do you agree that:
- He went running to the park.
- He went to the park running.
mean the same thing - "He got to the park by running."
Now, if I want to say: He went to the park to have a run. I need to say
- He went running in the park.
But I am confused about "He went running in the park". Native speakers say it means "He went to the park to have a run."
But in means inside not in the direction of, hence, (3) should mean "He started to run in the park" and not "he went to the park to have a run". Or maybe (3) has two meanings?
"to the park" = in the direction of the park
"in the park" = inside the park
So, how come (3) He went running in the park can mean "He went to the park to have a run"?