[BUG] Exceptions are not registered as errors in bridge mode

[NikiforovAll]

APM Agent version

Elastic Cloud / APM

Environment

windows, net8

Describe the bug

When I use Elastic.Apm in bridge mode the exceptions are recorded on Activity.RecordExceptions, I don't see them on "Errors" tab

To Reproduce

using System.Diagnostics;
using Elastic.Apm.AspNetCore;
using OpenTelemetry.Metrics;
using OpenTelemetry.Trace;

var builder = WebApplication.CreateBuilder(args);

builder.Logging.AddOpenTelemetry(logging =>
{
    logging.IncludeFormattedMessage = true;
    logging.IncludeScopes = true;
});

builder
    .Services.AddOpenTelemetry()
    .WithTracing(tracing =>
    {
        if (builder.Environment.IsDevelopment())
        {
            // We want to view all traces in development
            tracing.SetSampler(new AlwaysOnSampler());
        }

        tracing
            .AddSource("Worker")
            .AddHttpClientInstrumentation()
            .AddAspNetCoreInstrumentation()
            .AddConsoleExporter();
    });

builder.Services.AddHostedService<Worker>();

var app = builder.Build();

app.UseElasticApm(app.Configuration);

app.MapGet("/", () => "Hello World!");

app.Run();

public class Worker : BackgroundService
{
    public static readonly ActivitySource ActivitySource = new("Worker");

    protected override async Task ExecuteAsync(CancellationToken stoppingToken)
    {
        while (!stoppingToken.IsCancellationRequested)
        {
            using var activity = ActivitySource.StartActivity("Worker.ExecuteAsync");

            try
            {
                throw new Exception("Something went wrong");
            }
            catch (Exception ex)
            {
                activity?.SetStatus(Status.Error.WithDescription(ex.Message));
                activity?.RecordException(ex);
            }
            await Task.Delay(TimeSpan.FromSeconds(15), stoppingToken);
        }
    }
}

<Project Sdk="Microsoft.NET.Sdk.Web">

  <PropertyGroup>
    <TargetFramework>net8.0</TargetFramework>
    <Nullable>enable</Nullable>
    <ImplicitUsings>enable</ImplicitUsings>
    <RootNamespace>elastic_apm_otel_bridnge_errors</RootNamespace>
  </PropertyGroup>

  <ItemGroup>
      <PackageReference Include="Elastic.Apm.AspNetCore" Version="1.30.0" />
      <PackageReference Include="Elastic.Apm" Version="1.30.0" />
      <PackageReference Include="OpenTelemetry.Exporter.Console" Version="1.9.0" />
      <PackageReference Include="OpenTelemetry.Exporter.OpenTelemetryProtocol" Version="1.9.0" />
      <PackageReference Include="OpenTelemetry.Extensions.Hosting" Version="1.9.0" />
      <PackageReference Include="OpenTelemetry.Instrumentation.AspNetCore" Version="1.9.0" />
      <PackageReference Include="OpenTelemetry.Instrumentation.Http" Version="1.9.0" />
      <PackageReference Include="OpenTelemetry.Instrumentation.Runtime" Version="1.9.0" />
  </ItemGroup>

</Project>

Steps to reproduce the behavior:

Run the code above.

Expected behavior

I can find errors on the "Errors" tab.

Actual behavior

No errors are registered