I actually tried to publish the web extension in the Edge Store (even bought a developer license for this) but the Edge Store is currently not adding any new web extensions to their Store. They currently have only 98 extensions for Edge ( https://www.microsoft.com/en-us/store/collections/edgeextensions/pc ) - Firefox for example, has around 9'000.
I've submitted my request to publish the web extension in the Edge Store but can't do more. However, I'll publish the web extension there as soon as I'm able to! Thanks for your understanding!