Add project files.

AspNetCore.Extensions/Middleware/CorrelationVectorMiddleware.cs

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+using AspNetCore.Extensions.Options;
+using Microsoft.CorrelationVector;
+using Microsoft.Extensions.Options;
+using System.Core.Extensions;
+
+namespace AspNetCore.Extensions.Middleware;
+
+public sealed class CorrelationVectorMiddleware : IMiddleware
+{
+    private readonly CorrelationVectorOptions options;
+
+    public CorrelationVectorMiddleware() : this(Microsoft.Extensions.Options.Options.Create<CorrelationVectorOptions>(new()))
+    {
+    }
+
+    public CorrelationVectorMiddleware(IOptions<CorrelationVectorOptions> options)
+    {
+        this.options = options.ThrowIfNull().Value.ThrowIfNull();
+    }
+
+    public Task InvokeAsync(HttpContext context, RequestDelegate next)
+    {
+        var cv = new CorrelationVector();
+        if (context.Items.TryGetValue(this.options.Header, out var correlationVectorVal) &&
+            correlationVectorVal is string correlationVectorStr)
+        {
+            cv = CorrelationVector.Parse(correlationVectorStr);
+            cv.Increment();
+        }
+
+        context.SetCorrelationVector(cv);
+        return next(context);
+    }
+}