As the title says: I'm looking for a single verb to describe the act of making a statement that is consciously left open to interpretation, with the purpose of instilling a certain interpretation within some people, while at the same time maintaining plausible deniability for that interpretation to others.
It's something politicians and other public figures tend to be good at. The direct motivation for me asking is that the act was recently covered in the satirical late-night show Last Week Tonight in a segment on Ivanka Drumpf. However, no term for it was mentioned.