[CI Failure] Flaky: OtlpHttpServiceTests.CallService_OtlpHttpEndPoint_ExceedRequestLimit_Failure fails with 'Connection reset by peer' socket error

## Build Information

Build: https://github.com/microsoft/aspire/actions/runs/32909638198
Build error leg or test failing: Tests / Dashboard / Dashboard (ubuntu-latest) / `Aspire.Dashboard.Tests.Integration.OtlpHttpServiceTests.CallService_OtlpHttpEndPoint_ExceedRequestLimit_Failure`
Pull request: #19677

## Error Message

```
System.Net.Http.HttpRequestException : Error while copying content to a stream.
---- System.IO.IOException : Unable to write data to the transport connection: Connection reset by peer.
-------- System.Net.Sockets.SocketException : Connection reset by peer
```

## Description

Flaky: OtlpHttpServiceTests.CallService_OtlpHttpEndPoint_ExceedRequestLimit_Failure fails with 'Connection reset by peer' socket error

**Type**: flaky-test

## Occurrences

| Date | Build | Job | PR |
|------|-------|-----|----|
| 2026-08-26 | [32909638198](https://github.com/microsoft/aspire/actions/runs/32909638198) | Tests / Dashboard / Dashboard (ubuntu-latest) | #19677 |
| 2026-09-02 | [33671638017](https://github.com/microsoft/aspire/actions/runs/33671638017) | Tests / No-package tests (regular, Aspire.Hosting.Sdk.Tests, Hosting.Sdk, Hosting.Sdk, tests/Aspire.Hosti... / Hosting.Sdk (windows-latest) | #19403 |

Start with Aspire.Dashboard.Tests.Integration.OtlpHttpServiceTests.CallService_OtlpHttpEndPoint_ExceedRequestLimit_Failure and reproduce the failure from the referenced CI runs on the affected platforms. Investigate the connection-reset error during the request-limit check; done means the test reliably verifies the expected failure without intermittent socket errors.

Written by the indexing model from the issue text.