OpenTelemetry: Baggage gets lost when integrating with zio-http

[grouzen]

The issue was reported in the Discord channel (https://discord.com/channels/629491597070827530/639825316021272602/1133362501208252476):

Hi! I've now managed to get zio-telemetry root spans and attributes working as zio-http middleware. However, it seems that the opentelemetry Context is not automatically forwarded into the zio-http runtime somehow, which makes Baggage get lost. E.g., Here's an example of two tests where the first one("span") passes but the second one ("baggage") fails:

  ...
  override def spec: Spec[Tracing with TestEnvironment with Scope, Any] = suite("TracingContextSpec")(
    test("span") {
      for {
        tracing <- ZIO.service[Tracing]
        result <- Http.fromHandler(Handler.status(Ok))
          .mapZIO(_ => tracing.getCurrentSpan.map(_.asInstanceOf[ReadWriteSpan].getName))
          .runZIO(Request.get(URL.empty)).option @@ tracing.aspects.span("test")
      } yield assertTrue(result.contains("test"))
    },
    test("baggage") {
      for {
        tracing <- ZIO.service[Tracing]
        result <- Http.fromHandler(Handler.status(Ok))
          .mapZIO(_ => tracing.getCurrentBaggage.map(_.getEntryValue("foo")))
          .runZIO(Request.get(URL.empty)).option @@ tracing.aspects.setBaggage("foo", "bar")
      } yield assertTrue(result.contains("bar"))
    },
  )

How can I ensure that the Baggage will be available inside the Http effect?