When the "File might be harmful" warning appears, select Download anyway (this is standard for manual APK installs).
CapCut APK Download for Android: Latest Version and No Watermark Download CapCut 1.0.1 APK for Android
To install a specific version like 1.0.1, you must manually bypass standard Play Store updates: Safely Get Official CapCut APK for Android When the "File might be harmful" warning appears,
Download