Infrastructure: Remove Application Insights output and review dependencies

## 🚨 Infrastructure and Best Practices Updates - Propagation from functions-quickstart-dotnet-azd PR #18

This issue tracks infrastructure and best practices changes that need to be applied to maintain consistency across Azure Functions AZD templates, based on [PR #18](https://github.com/Azure-Samples/functions-quickstart-dotnet-azd/pull/18) merged on August 7, 2025.

### Required Changes

#### 1. 🏗️ Remove Application Insights from Bicep Outputs
Remove this line from `infra/main.bicep`:

```bicep
// REMOVE this line
output APPLICATIONINSIGHTS_CONNECTION_STRING string = monitoring.outputs.name
```

#### 2. 📦 Update TypeScript/Node.js Dependencies
Review and update dependencies in `package.json` to their latest stable versions:

```json
{
"dependencies": {
"@azure/functions": "latest",
// Update other Azure Functions-related packages
},
"devDependencies": {
"typescript": "latest",
"@types/node": "latest"
// Update other dev dependencies
}
}
```

#### 3. 🔍 Review for Development-Only Configuration
Ensure no development-specific configuration is included in template files:
- Remove any hardcoded connection strings
- Remove development-only environment variables
- Ensure secrets are properly externalized

### Impact
- **Security:** Removes exposed configuration from template
- **Compatibility:** Updates to latest stable versions
- **Consistency:** Aligns with current best practices across all Azure Functions AZD templates

### Reference
- **Source PR:** https://github.com/Azure-Samples/functions-quickstart-dotnet-azd/pull/18
- **Author:** @nzthiago
- **Scope:** Part of batch propagation across 19 Azure Functions AZD templates

### Related Language-Specific Templates
Similar infrastructure updates needed for:
- .NET templates ✅ (Issues created)
- Python templates ✅ [Issue #18](https://github.com/Azure-Samples/functions-quickstart-python-http-azd/issues/18)
- JavaScript templates (2 repositories)
- PowerShell templates (2 repositories)
- Java templates (1 repository)

/cc @nzthiago