Is it possible to get root permission using Magisk in Work Profile? I had flashed Magisk in the recovery, but when I run Magisk Manager in Work Profile it says Magisk is not installed. Does this imply that there is an independent recovery for Work Profile as well? Is there any way to gain root access in Work Profile?
Choose User-independent option in Multiuser Mode Settings of Magisk app.

User profiles and multi users are managed inside OS, nothing to do with recovery.