4.1038.300.25164 causes Azure.RequestFailedExceptions

### Description

As version 4.1038.300.25164 rolled out my AppInsights started to be flooded with `Azure.RequestFailedException`s. These do not seem to align with any deployments of my function, nor do they seem to scale with requests. Interestingly they also don't seem to be causing requests to fail.

This is the message:
```
This request is not authorized to perform this operation using this permission. RequestId:249c6fb6-c002-001b-2d7d-ad03b2000000 Time:2025-04-14T20:41:31.3878204Z Status: 403 (Forbidden) ErrorCode: AuthorizationPermissionMismatch Content: {"odata.error":{"code":"AuthorizationPermissionMismatch","message":{"lang":"en-US","value":"This request is not authorized to perform this operation using this permission.\nRequestId:249c6fb6-c002-001b-2d7d-ad03b2000000\nTime:2025-04-14T20:41:31.3878204Z"}}} Headers: Cache-Control: no-cache Transfer-Encoding: chunked Server: Windows-Azure-Table/1.0 Microsoft-HTTPAPI/2.0 x-ms-request-id: 249c6fb6-c002-001b-2d7d-ad03b2000000 x-ms-client-request-id: 6a1c8aa0-c0be-4585-99d1-0008cd605bbb x-ms-version: REDACTED X-Content-Type-Options: REDACTED Date: Mon, 14 Apr 2025 20:41:30 GMT Content-Type: application/json;odata=minimalmetadata;streaming=true;charset=utf-8
```

Method | Level | Line | Assembly | File Name
-- | -- | -- | -- | --
Azure.Data.Tables.TableRestClient+d__8.MoveNext | 0 | 0 | Azure.Data.Tables, Version=12.8.3.0, Culture=neutral, PublicKeyToken=92742159e12e44c8 |  
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 1 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess | 2 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification | 3 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.ConfiguredTaskAwaitable`1+ConfiguredTaskAwaiter.GetResult | 4 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Azure.Data.Tables.TableServiceClient+<>c__DisplayClass34_0+d.MoveNext | 5 | 0 | Azure.Data.Tables, Version=12.8.3.0, Culture=neutral, PublicKeyToken=92742159e12e44c8 |  
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 6 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess | 7 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification | 8 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.ConfiguredTaskAwaitable`1+ConfiguredTaskAwaiter.GetResult | 9 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Azure.Core.PageableHelpers+FuncAsyncPageable`1+d__4.MoveNext | 10 | 0 | Azure.Data.Tables, Version=12.8.3.0, Culture=neutral, PublicKeyToken=92742159e12e44c8 |  
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 11 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Threading.Tasks.Sources.ManualResetValueTaskSourceCore`1.ThrowForFailedGetResult | 12 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Threading.Tasks.Sources.ManualResetValueTaskSourceCore`1.GetResult | 13 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Azure.AsyncPageable`1+d__6.MoveNext | 14 | 0 | Azure.Core, Version=1.38.0.0, Culture=neutral, PublicKeyToken=92742159e12e44c8 |  
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 15 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Azure.AsyncPageable`1+d__6.MoveNext | 16 | 0 | Azure.Core, Version=1.38.0.0, Culture=neutral, PublicKeyToken=92742159e12e44c8 |  
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 17 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Threading.Tasks.Sources.ManualResetValueTaskSourceCore`1.ThrowForFailedGetResult | 18 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Threading.Tasks.Sources.ManualResetValueTaskSourceCore`1.GetResult | 19 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Microsoft.Azure.WebJobs.Script.WebHost.Helpers.TableStorageHelpers+d__5.MoveNext | 20 | 104 | Microsoft.Azure.WebJobs.Script.WebHost, Version=4.1038.0.0, Culture=neutral, PublicKeyToken=null | /_/src/WebJobs.Script.WebHost/Helpers/TableStorageHelpers.cs
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 21 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Microsoft.Azure.WebJobs.Script.WebHost.Helpers.TableStorageHelpers+d__5.MoveNext | 22 | 104 | Microsoft.Azure.WebJobs.Script.WebHost, Version=4.1038.0.0, Culture=neutral, PublicKeyToken=null | /_/src/WebJobs.Script.WebHost/Helpers/TableStorageHelpers.cs
System.Runtime.ExceptionServices.ExceptionDispatchInfo.Throw | 23 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter.ThrowForNonSuccess | 24 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter.HandleNonSuccessAndDebuggerNotification | 25 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
System.Runtime.CompilerServices.TaskAwaiter`1.GetResult | 26 | 0 | System.Private.CoreLib, Version=8.0.0.0, Culture=neutral, PublicKeyToken=7cec85d7bea7798e |  
Microsoft.Azure.WebJobs.Script.WebHost.Diagnostics.DiagnosticEventTableStorageRepository+<>c__DisplayClass29_0+d.MoveNext | 27 | 127 | Microsoft.Azure.WebJobs.Script.WebHost, Version=4.1038.0.0, Culture=neutral, PublicKeyToken=null | /_/src/WebJobs.Script.WebHost/Diagnostics/DiagnosticEventTableStorageRepository.cs

### Steps to reproduce

Create and Azure Function with an associated AppInsights database.

Start at src/WebJobs.Script.WebHost/Helpers/TableStorageHelpers.cs line 104 and src/WebJobs.Script.WebHost/Diagnostics/DiagnosticEventTableStorageRepository.cs line 127, then inspect the Azure.Data.Tables 12.8.3 calls involved in diagnostic storage. Reproduce with an Azure Function and associated App Insights database; done means the unexpected authorization exceptions are explained and no longer flood diagnostics without breaking request processing.

Written by the indexing model from the issue text.