Chrome

sudo mkdir -p /etc/opt/chrome/policies/managed
sudo nvim /etc/opt/chrome/policies/managed/disable-updates.json
 

and paste:

{
  "AutoUpdateCheckPeriodMinutes": 0,
  "DisableAutoUpdateChecksCheckboxValue": true,
  "UpdatePolicy": {
    "google-chrome": 0
  }
}

Brave

sudo mkdir -p /etc/brave/policies/managed
sudo nvim /etc/brave/policies/managed/disable-updates.json

and paste:

{
  "AutoUpdateCheckPeriodMinutes": 0,
  "DisableAutoUpdateChecksCheckboxValue": true,
  "UpdatePolicy": {
    "brave": 0
  }
}