Were you able to complete the Windows Update KB5034441?
First, I assume you assigned the GPT Partition ID and the GPT Attributes for your new Partition properly. Read through the details of the 35 pages if you are not sure for details on how this is done. If these steps are not done right you will not have a recognized Windows Recovery Partition. The ID and Attributes can be added using Diskpart, if you are familiar with the commands.
If the Partition IS setup right then proceed. Or, proceed anyway to Hide the Partition. It will still be visible in Disk Management.
You could use MiniTool Partition Wizard (Free Version) to fix this, I believe. Download the latest version, install freeware version and start the App (Program). Likely your Boot or OS Drive is Disk1 (in this program).
Left-click on the 96 MB Partition shown on the Disk1 or the OS Drive "Z". This will highlight it blue.
Right click on the blue high lighted Partition (again 96 MB "Z").
From the menu that pops up select "Hide Partition." This will hide it from being displayed in File Manager and having a Drive Letter. You are not done yet.
This will place your request for completing this change in the Operations Pending on the Left side of the open Window. Now you have to Accept the change by clicking "Apply." Your request will be completed. You can restart your PC and see if the Partition is no longer visible.
Good Luck.