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Ideally, Android and iOS would have designed clipboard support so that pasting is a user action via the system UI instead of a programmatic call to an API by the app triggered by a user action. Context menu would ideally be system UI with app extensions.
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If there's genuinely a use case for programmatic access to the clipboard outside of a keyboard (clipboard manager), it could be handled via a permission that's rarely needed. This is how it works for web sites. There's hardly ever an actual reason to do more than the system UI.
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