Could not open lock file /var/lib/apt/lists/lock - open (13: Permission denied)

This error typically occurs when the package manager, such as apt, is already running or when you don't have the necessary permissions to access the lock file. To resolve this issue, you can try the following steps:

1. Make sure you have administrative privileges. Use the `sudo` command before the apt command to run it with root privileges. For example:

   sudo apt update

2. Check if another package manager process is running. You can use the following command to check for any running apt or dpkg processes:

   ps aux | grep -i apt
   ps aux | grep -i dpkg

If you find any processes, wait for them to finish or terminate them using the `kill` command followed by the process ID (PID).

3. If the issue persists, you can try removing the lock file manually. Use the following command to remove the lock file:

   sudo rm /var/lib/apt/lists/lock

4. Finally, update the package lists again using:

   sudo apt update

If none of these steps work, there might be a deeper issue with your system configuration. In that case, it's recommended to seek further assistance from a relevant technical support forum or community.