@Mountain Pond,Thanks for posting in Q&A.
For your issue, we can create an app protection policy to achieve your goal.
Here are some settings in app protection policy you can configure.
1.Set Send org data to other apps to Policy managed apps and this setting Allow transfer only to other policy-managed apps.
2.Set Restrict web content transfer with other apps to Microsoft Edge and this setting Allow web content to open only in the Microsoft Edge.
3.Set Restrict cut, copy and paste between other apps to Blocked and this setting don't allow cut, copy, and paste actions between this app and any other app.
Android app protection policy settings - Microsoft Intune | Microsoft Learn
Hope above information can be helpful.
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