Sorry, this isn't going to be a helpful answer, but I'm also trying to solve this and haven't had any luck. I thought perhaps it would be a setting under the Systems/Secure/Global table, but I couldn't find anything. There also isn't a setting you can toggle off under Android settings. I believe this is part of the Security app, which is a system app created by MIUI and that can't be disabled or uninstalled.
And I think Chain Start is part of the App Behavior Records. Perhaps you can try to disable the settings, such as "Protect private information" etc as shown in the screenshots here, for each of the app that you want:
Alternatively, maybe try turning off MIUI Optimization under Developer Settings and see if that helps. Outside of that, you'd have to install a custom ROM that's not MIUI based.
UPDTE:
Actually, I got it working now. You can use this:
customiuizer14(米客). Contribute to MonwF/customiuizer development by creating an account on GitHub.
github.com
In that app, there is a setting called "remove open app confirm" or something like that. Just enable that and the chain start messages disappear completely. That app also has a bunch of other useful settings too, such as skipping screen lock when you're connected to a trusted bluetooth device or a trusted wifi network. It has plugin support for Tasker and MacroDroid too. You need root for this app to work. Worth donating to the developer.