Permission denied error occurs on shell script after macos update to sonoma from ventura

I have developed a macos app.

in the app, launchd .plist file to run a shell script. (.plist file's location is /Library/LaunchAgents/)

In the script, I use below code to output log info.

Before update to sonoma , it worked well.

    local FileLogsTask="/var/log/my_task.log"
    echo ${Timestamp}：${Msg} >> "${FileLogsTask}"

After updated to sonoma.

1. I found old my_task.log was lost
2. After script is executed, my_task.log was not created
3. 「/var/log/my_task.log: Permission denied」error is outputted

Has anyone encountered similar problems， know how to solve this problem？