I haven't heard of Here browser until now, but lookin at the website I guess I don't understand what the point is?
For Windows shops, Edge is already an "enterprise browser." I can control literally every aspect of it via MDM policies or Group Policy for the on-prem AD folks. If using EntraID, SSO is already included, and you can go as far as whitelisting sites as well. I can set custom tab groups, pinned tabs, etc all with policy.
Even on non-managed/BYOD devices, once signed in to the work account Edge can be managed the same way via MAM policies. I can even force documents and links from other "work" apps to open in the managed Edge profile.
The only thing Here seems to offer that I couldn't configure Edge to do is the split-pane view in their "Supertabs" but Edge does have the sidebar, that I can configure to be pinned with Teams, Outlook, Copilot, etc.