I'm puzzled as to why you think it should be intuitive to go to a Blazor category when I didn't create a Blazor app? This category is Radzen IDE (Angular), I am working on an Angular app (taking over from someone else), and my problem seems to be IDE related, so this seems the most logical category to go to.
As for permissions, the permissions on the obj folder match the permissions on the parent server folder. I occasionally use VS Code to look at source, and make small edits (for example, our email server doesn't have authentication, so I had to delete the user/pass from the app.json file), but that is rare. I also use GitKraken to look at my git repo, but have only actually used it to edit a file once. This morning I started Radzen from a PC restart, and it was the only development based program that was running, and the same issue is present. What puzzles me if it was a permissions issue, is that I (as a local admin user) delete the obj folder, and Radzen has no problem recreating it, but it can't get back into its own folder.
Permissions are authenticated users all but full and special permissions, System and administrators have full control, and Users have read/executed, list folder, and read permissions, just like the parent folder as well as the folder that the project is in. I tried editing the permissions and setting both Users and Authenticated Users to full control, but that didn't make a difference. Is there some other group that the Radzen app needs to have permissions here? That doesn't seem to make sense to me, but I'm grasping straws, as it's been more than a decade since I was a sysadmin and my memory on permissions may be rusty here.