Configuring Specific Domain User for MDT Deployment:

1. Create New Domain User Group: "MDT-Users"
2. Go to Deployment Share > Sharing > Advanced Sharing > Check 'Share this folder'
Then, 'Permissions' and add "MDT-Users" with "Full-Control"
3. Go to Deployment Share > Properties > Security > Advanced > Permission Tab > Add
Adds the new group, with "Read & execute" option.
4. Configure Log folder, if set, similar to step 3 with the difference of disable permission inheritance for subfolders and with "modify" option only.

https://gal.vin/posts/2022/mdt-user-permissions