diff --git a/changelog.d/19636.misc b/changelog.d/19636.misc
new file mode 100644
index 0000000000..9ea0f04603
--- /dev/null
+++ b/changelog.d/19636.misc
@@ -0,0 +1 @@
+Run lint script to format Complement tests introduced in [#19509](https://github.com/element-hq/synapse/pull/19509).
diff --git a/complement/tests/internal/dockerutil/files.go b/complement/tests/internal/dockerutil/files.go
index 62d2c557af..e19f684368 100644
--- a/complement/tests/internal/dockerutil/files.go
+++ b/complement/tests/internal/dockerutil/files.go
@@ -14,7 +14,13 @@ import (
 //
 // Internally, produces an uncompressed single-file tape archive (tar) that is sent to the docker
 // daemon to be unpacked into the container filesystem.
-func WriteFileIntoContainer(t *testing.T, docker *client.Client, containerID string, path string, data []byte) error {
+func WriteFileIntoContainer(
+	t *testing.T,
+	docker *client.Client,
+	containerID string,
+	path string,
+	data []byte,
+) error {
 	// Create a fake/virtual tar file in memory that we can copy to the container
 	// via https://stackoverflow.com/a/52131297/796832
 	var buf bytes.Buffer
@@ -25,7 +31,11 @@ func WriteFileIntoContainer(t *testing.T, docker *client.Client, containerID str
 		Size: int64(len(data)),
 	})
 	if err != nil {
-		return fmt.Errorf("WriteIntoContainer: failed to write tarball header for %s: %v", path, err)
+		return fmt.Errorf(
+			"WriteIntoContainer: failed to write tarball header for %s: %v",
+			path,
+			err,
+		)
 	}
 	_, err = tw.Write([]byte(data))
 	if err != nil {
@@ -34,7 +44,11 @@ func WriteFileIntoContainer(t *testing.T, docker *client.Client, containerID str
 
 	err = tw.Close()
 	if err != nil {
-		return fmt.Errorf("WriteIntoContainer: failed to close tarball writer for %s: %w", path, err)
+		return fmt.Errorf(
+			"WriteIntoContainer: failed to close tarball writer for %s: %w",
+			path,
+			err,
+		)
 	}
 
 	// Put our new fake file in the container volume
diff --git a/complement/tests/oidc_test.go b/complement/tests/oidc_test.go
index bddb382058..deabf49950 100644
--- a/complement/tests/oidc_test.go
+++ b/complement/tests/oidc_test.go
@@ -93,7 +93,10 @@ func TestOIDCProviderUnavailable(t *testing.T) {
 		// by the user's browser in order to start the login flow.
 		queryParams := url.Values{}
 		queryParams.Add("redirectUrl", "http://redirect.invalid/redirect")
-		res := unauthedClient.Do(t, "GET", []string{"_matrix", "client", "v3", "login", "sso", "redirect", "oidc-test_provider"},
+		res := unauthedClient.Do(
+			t,
+			"GET",
+			[]string{"_matrix", "client", "v3", "login", "sso", "redirect", "oidc-test_provider"},
 			client.WithQueries(queryParams),
 		)