As you can see from the supported environments page that Microfocus maintains here : https://admhelp.microfocus.com/documents/alm/alm-system-requirements/alm-qc-system-requirements.htm
Microsoft Edge (version 77 and later) has been supported in all versions since ALM 12.5x, so your current version is supported in Microsoft Edge. I have included documents on getting that to work with your version. It will require modification of group policies if you have them in effect by your IT staff and you will need to run Edge in IE mode for it to work. As for Chrome, Safari, and Firefox, they only support the webrunner and only starting in version 15.5.x, as they don’t have the Active X component availability that Edge has when running in IE mode (needed to run ALM desktop client in the Edge browser).
Hope this helps,