Earlier quoted context omitted.
Right. So: * Don't require users of your API to start [additional] goroutines to use your API correctly.
I guess what I mean to say is: don't make your users write go yourpackage.YourApiCall() in order to use the API correctly. That's just a guess, though.
Your API should present all of the things it does as synchronous functions/methods. If callers want to run them asynchronously, they can easily provide their own goroutine to do so, including whatever lifecycle management makes sense for them.
The concrete example was
// Do this
func (t *type) Run(ctx context.Context) { ... }
// Not this
func (t *type) Start() { ... }
func (t *type) Cancel() { ... }
This is generally good advice which stops a whole class of extremely common and very tricky to debug orchestration bugs outright.