go test -v norunexample
stdout 'File with non-runnable example was built.'

-- go.mod --
module norunexample

go 1.16
-- example_test.go --
package pkg_test

import "os"

func init() {
	os.Stdout.Write([]byte("File with non-runnable example was built.\n"))
}

func Example_test() {
	// This test will not be run, it has no "Output:" comment.
}
-- test_test.go --
package pkg

import (
	"os"
	"testing"
)

func TestBuilt(t *testing.T) {
	os.Stdout.Write([]byte("A normal test was executed.\n"))
}