Sync .github/workflows directory with azure-sdk-tools for PR 8412 (#29976)

Sync .github/workflows directory with azure-sdk-tools for PR
Azure/azure-sdk-tools#8412 See [eng/common
workflow](https://github.com/Azure/azure-sdk-tools/blob/main/eng/common/README.md#workflow)

Co-authored-by: James Suplizio <jasupliz@microsoft.com>

Author: azure-sdk

.github/workflows/event-processor.yml

@@ -58,7 +58,7 @@ jobs:
         run: >
           dotnet tool install
           Azure.Sdk.Tools.GitHubEventProcessor
-          --version 1.0.0-dev.20240502.2
+          --version 1.0.0-dev.20240610.2
           --add-source https://pkgs.dev.azure.com/azure-sdk/public/_packaging/azure-sdk-for-net/nuget/v3/index.json
           --global
         shell: bash
@@ -114,7 +114,7 @@ jobs:
         run: >
           dotnet tool install
           Azure.Sdk.Tools.GitHubEventProcessor
-          --version 1.0.0-dev.20240502.2
+          --version 1.0.0-dev.20240610.2
           --add-source https://pkgs.dev.azure.com/azure-sdk/public/_packaging/azure-sdk-for-net/nuget/v3/index.json
           --global
         shell: bash

.github/workflows/scheduled-event-processor.yml

@@ -39,7 +39,7 @@ jobs:
         run: >
           dotnet tool install
           Azure.Sdk.Tools.GitHubEventProcessor
-          --version 1.0.0-dev.20240502.2
+          --version 1.0.0-dev.20240610.2
           --add-source https://pkgs.dev.azure.com/azure-sdk/public/_packaging/azure-sdk-for-net/nuget/v3/index.json
           --global
         shell: bash