[AzureMonitorDistro] cleanup Integration Tests

[TimothyMothra]

Fixes #36425

Changes

• delete AzureMonitorTraceExporterLiveTests
  This was originally written to test the Exporter. Moving forward, we're going to do all of our Integration testing using the Distro.
  • also delete recordings
• change DistroWebAppLiveTests to explicitly fail instead of using Assert.Inconclusive.
  The test host will report Inconclusive as a success. We need failures to be reported for further investigation.
• change DistroWebAppLiveTests to SyncOnly. This is because The Async and Sync tests were running concurrently and failing.
• update DistroWebAppLiveTests recordings.

[azure-sdk]

API change check

API changes are not detected in this pull request.

[TimothyMothra]

Investigating test failure.

MacOS + .NET7.0

Failed VerifyDistro [1 s]
  Error Message:
   System.InvalidOperationException : "The collection already contains item with same key 'sampleRate''"
  Stack Trace:
     at System.Diagnostics.ActivityTagsCollection.Add(String key, Object value)
   at OpenTelemetry.Trace.TracerProviderSdk.ComputeActivitySamplingResult(ActivityCreationOptions`1& options, Sampler sampler)
   at OpenTelemetry.Trace.TracerProviderSdk.<.ctor>b__10_4(ActivityCreationOptions`1& options)
   at System.Diagnostics.ActivitySource.<>c.<CreateActivity>b__18_1(ActivityListener listener, ActivityCreationOptions`1& data, ActivitySamplingResult& result, ActivityCreationOptions`1& unused)
   at System.Diagnostics.SynchronizedList`1.EnumWithFunc[TParent](Function`2 func, ActivityCreationOptions`1& data, ActivitySamplingResult& samplingResult, ActivityCreationOptions`1& dataWithContext)
   at System.Diagnostics.ActivitySource.CreateActivity(String name, ActivityKind kind, ActivityContext context, String parentId, IEnumerable`1 tags, IEnumerable`1 links, DateTimeOffset startTime, Boolean startIt, ActivityIdFormat idFormat)
   at System.Diagnostics.ActivitySource.CreateActivity(String name, ActivityKind kind)
   at System.Net.Http.DiagnosticsHandler.CreateActivity(HttpRequestMessage requestMessage)
   at System.Net.Http.DiagnosticsHandler.SendAsyncCore(HttpRequestMessage request, Boolean async, CancellationToken cancellationToken)
   at System.Net.Http.RedirectHandler.SendAsync(HttpRequestMessage request, Boolean async, CancellationToken cancellationToken)
   at System.Net.Http.HttpClient.GetStringAsyncCore(HttpRequestMessage request, CancellationToken cancellationToken)
   at Azure.Monitor.OpenTelemetry.AspNetCore.Integration.Tests.DistroWebAppLiveTests.VerifyDistro() in /Users/runner/work/1/s/sdk/monitor/Azure.Monitor.OpenTelemetry.AspNetCore/tests/Azure.Monitor.OpenTelemetry.AspNetCore.Integration.Tests/DistroWebAppLiveTests.cs:line 87
   at NUnit.Framework.Internal.TaskAwaitAdapter.GenericAdapter`1.GetResult()
   at NUnit.Framework.Internal.AsyncToSyncAdapter.Await(Func`1 invoke)
   at NUnit.Framework.Internal.Commands.TestMethodCommand.RunTestMethod(TestExecutionContext context)
   at NUnit.Framework.Internal.Commands.TestMethodCommand.Execute(TestExecutionContext context)
   at NUnit.Framework.Internal.Commands.BeforeAndAfterTestCommand.<>c__DisplayClass1_0.<Execute>b__0()
   at NUnit.Framework.Internal.Commands.BeforeAndAfterTestCommand.RunTestMethodInThreadAbortSafeZone(TestExecutionContext context, Action action)

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Test failed 3 times in a row. I'm going to rebase this branch.