Spans and LogAnnotations are not Propagating to Third Party Libraries Using SLF4J

[khajavi]

//> using scala 2.13.15
//> using dep dev.zio::zio:2.1.14
//> using dep dev.zio::zio-logging:2.4.0
//> using dep dev.zio::zio-logging-slf4j2:2.4.0
//> using dep org.slf4j:slf4j-simple:2.0.16

import my.lib.foo._
import zio._
import zio.logging.LogFormat
import zio.logging.backend.SLF4J
import zio.logging.backend.SLF4J.logFormatDefault

object MainApp extends ZIOAppDefault {
  override val bootstrap =
    Runtime.removeDefaultLoggers >>> SLF4J.slf4j(logFormatDefault |-| LogFormat.spans)

  override def run = {
    ZIO.logSpan("my-span") {
      ZIO.logAnnotate("foo", "bar") {
        for {
          _ <- ZIO.logInfo("App started!")
          _ <- ZIO.attempt(doSomething())
          _ <- ZIO.logInfo("App finished!")
        } yield ()
      }
    }
  }
}

package my.lib {

  import org.slf4j.LoggerFactory

  object foo {
    private val logger = LoggerFactory.getLogger("lib.foo")

    def doSomething() =
      logger.info("Doing something!")
  }
}

// Output:
// [ZScheduler-Worker-7] INFO <empty>.MainApp - foo=bar my-span=8ms App started!
// [ZScheduler-Worker-7] INFO lib.foo - Doing something!
// [ZScheduler-Worker-7] INFO <empty>.MainApp - foo=bar my-span=12ms App finished!

// Example of Expected Output:
// [ZScheduler-Worker-7] INFO <empty>.MainApp - foo=bar my-span=8ms App started!
// [ZScheduler-Worker-7] INFO lib.foo - foo=bar my-span=10ms Doing something!
// [ZScheduler-Worker-7] INFO <empty>.MainApp - foo=bar my-span=12ms App finished!

Do you have any idea what is the problem?