This isn’t specifically related to Cwicly as the Site Editor by the WordPress team doesn’t manage links properly and allows interaction with them.
We have added an option to the Code block → Prevent Clicks which should allow you to interact with the Code block without having to interact with the markup it generates.
Hope this helps. If you have any suggestions, remarks, please don’t hesitate.
On the code block itself. We preferred going down this route so that you can oscillate between different interactions states depending on your preferences for the code you input.