For anyone else coming across similar problem.
It turns out that those scripts from Qubely are not loaded for some reasons on live page while they are on preview/edit pages.
What I tried to do is to create a hook that would display on every page. In this hook I added a custom script tag from Qubely. For example:
<script src=”https://yourdomain.com/wp-content/plugins/qubely/assets/js/common-script.min.js”></script>
When I saved that hook and went to live page I got an error in browser console:
“jQuery is not defined”
So I did add jQuery to that hook above any Qubely script tags.
<script src=”https://ajax.googleapis.com/ajax/libs/jquery/3.6.0/jquery.min.js”></script>
Then it finally started to work!!!!
I hope it helps anybody else.
P.S.
You can go to Plugins-> Plugin Editor -> Choose Qubely from dropdown and confirm selection -> From file menu on right-hand-side select assets>js . In this folder you can find any possible js script that you may want to add to that hook to work with different Qubely widgets.