Add Client.Patch method for PATCH HTTP requests

Follows the same pattern as Put/Post, accepting context, URL, and body.
Closes an obvious gap in the REST client API.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

client_patch_test.go

@@ -0,0 +1,45 @@
+package httpx_test
+
+import (
+	"context"
+	"fmt"
+	"io"
+	"net/http"
+	"net/http/httptest"
+	"strings"
+	"testing"
+
+	"git.codelab.vc/pkg/httpx"
+)
+
+func TestClient_Patch(t *testing.T) {
+	srv := httptest.NewServer(http.HandlerFunc(func(w http.ResponseWriter, r *http.Request) {
+		if r.Method != http.MethodPatch {
+			t.Errorf("expected PATCH, got %s", r.Method)
+		}
+		b, _ := io.ReadAll(r.Body)
+		if string(b) != `{"name":"updated"}` {
+			t.Errorf("expected body %q, got %q", `{"name":"updated"}`, string(b))
+		}
+		w.WriteHeader(http.StatusOK)
+		fmt.Fprint(w, "patched")
+	}))
+	defer srv.Close()
+
+	client := httpx.New()
+	resp, err := client.Patch(context.Background(), srv.URL+"/item/1", strings.NewReader(`{"name":"updated"}`))
+	if err != nil {
+		t.Fatalf("unexpected error: %v", err)
+	}
+
+	if resp.StatusCode != http.StatusOK {
+		t.Errorf("expected status 200, got %d", resp.StatusCode)
+	}
+	body, err := resp.String()
+	if err != nil {
+		t.Fatalf("reading body: %v", err)
+	}
+	if body != "patched" {
+		t.Errorf("expected body %q, got %q", "patched", body)
+	}
+}