That's an excellent question, and it delves into the realm of Linux permissions!
Generally, a user's home directory (/home/labex in this case) is designed to be their personal space. By default, other regular users on the same system would not have direct write access to labex's home directory. They might be able to read some files or see directory names, depending on the specific permissions set, but typically won't be able to create, modify, or delete files in another user's home directory.
However, there's a big "but": the root user (the superuser) has full access to all directories and files on the system, including other users' home directories.
So, for most practical purposes, as the labex user, your home directory is quite private from other standard users.
Does that clarify things for you?