Adds client context to `Client()` method in `aibridged.Server`,
effectivly renaming `ClientContext()` method as `Client()`.
Similarly `aibridged.ClientFuncWithContext` became
`aibridged.ClientFunc`.
`aibridged.Server.Client()` acquired a DRPC client with
`context.Background()`, callers in theory could wait indefinitely for
the daemon to connect to coderd.
Every call site already had a context except the recorder callback.
`aibridge.NewRecorder` takes a `func(context.Context) (Recorder, error)`
and acquires against the record call's context.
Paweł Banaszewski
8f5f15a92f