Simplify .NET project branding to match TypeScript

Co-authored-by: diberry <41597107+diberry@users.noreply.github.com>

Author: Copilot

ai/vector-search-dotnet/.devcontainer/devcontainer.json

@@ -1,5 +1,5 @@
 {
-  "name": "Azure DocumentDB Vector Search - .NET 8",
+  "name": "Cosmos DB Vector Search - .NET 8",
   "image": "mcr.microsoft.com/devcontainers/dotnet:1-8.0-bookworm",
 
   "features": {

ai/vector-search-dotnet/README.md

@@ -1,27 +1,27 @@
-# Azure Cosmos DB MongoDB vCore - Vector Search Sample
+# Cosmos DB Vector Search Sample
 
-This .NET 8.0 sample application demonstrates vector similarity searches using Azure Cosmos DB for MongoDB vCore with different vector search algorithms (IVF, HNSW, and DiskANN). The application uses hotel data and text embeddings generated by Azure OpenAI.
+This .NET 8.0 sample application demonstrates vector similarity searches using Cosmos DB with different vector search algorithms (IVF, HNSW, and DiskANN). The application uses hotel data and text embeddings generated by Azure OpenAI.
 
 ## Features
 
 - Generate vector embeddings for hotel descriptions using Azure OpenAI
 - Compare performance across IVF, HNSW, and DiskANN vector search algorithms
-- Seamless integration with Azure Cosmos DB and Azure OpenAI services
+- Seamless integration with Cosmos DB and Azure OpenAI services
 - Interactive menu-driven application
 
 ## Prerequisites
 
 ### Azure Services
 
-- Azure Cosmos DB for MongoDB vCore account
+- Cosmos DB account
 - Azure OpenAI Service with text-embedding-ada-002 model deployed
 
 ### Development Environment
 
 - .NET 8.0 SDK
 - Visual Studio Code or Visual Studio 2022
 - Azure CLI
-- [Azure DocumentDB for VS Code](https://marketplace.visualstudio.com/items?itemName=ms-azuretools.vscode-documentdb)
+- [Cosmos DB for VS Code](https://marketplace.visualstudio.com/items?itemName=ms-azuretools.vscode-documentdb)
 
 ## Setup
 
@@ -116,6 +116,6 @@ Update the following in `appsettings.json`:
 
 ## Additional Resources
 
-- [Azure Cosmos DB for MongoDB vCore Documentation](https://docs.microsoft.com/azure/cosmos-db/mongodb/vcore/)
+- [Cosmos DB Documentation](https://docs.microsoft.com/azure/cosmos-db/mongodb/vcore/)
 - [Azure OpenAI Service Documentation](https://docs.microsoft.com/azure/cognitive-services/openai/)
 - [.NET MongoDB Driver Documentation](https://mongodb.github.io/mongo-csharp-driver/)