Microsoft Edge integration is now available as an in app update per Hook integration scripts v. 121 now available with support for Microsoft Edge - Releases - Hook Productivity Forum.
You may need to delete the script you created in Hook > Preferences > Scripts because it might override this script (depending on what you did). Just select the Edge script you created and hit the “-” button at the bottom left of the column. That will not delete CogSci Apps’s Hooks scripts.
Enjoy 