Your original screenshot of the Get Info window shows "Fetching..." for the owner's "name" field which tells me there is some problem here causing macOS to take way to long to get the permissions information or is unable to retrieve it. If macOS is unable to retrieve the owner's permissions, then it makes sense you won't be able to do anything with that item. Maybe try changing the item's permissions...may require use of the command line.
When you run First Aid, make sure to run First Aid on the hidden Container. Within Disk Utility you may need to click "View" and select "Show All Devices" so that the hidden Container appears on the left pane of Disk Utility. Even if First Aid says everything is "Ok", click "Show Details" and scroll back through the report to see if any unfixed errors are listed. If there are any unfixed errors listed, then run First Aid from Internet Recovery Mode, otherwise you will need to perform a clean install of macOS by first erasing the drive followed by installing macOS & restoring from backup.
I've never locked a macOS folder before so I don't know exactly how macOS does it. If changing permissions of the folder doesn't help, then you may be able to remove it by using the command line which may ignore any higher macOS attributes associated with the file.
You may want to check the folder permissions using the command line. Start by typing the following, make sure to leave at least one space after the last character. Using the Finder, drag & drop the folder onto the open Terminal window to auto fill the path to the folder. Then press the "Return" key to execute the command. Take a screenshot of the output of the command for the line with the folder and any lines after it until another line with the next file/folder is listed.
ls -hle
I know the other contributors here are much more familiar with macOS permissions (especially ACLs than I am).