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In the Three Characteristics, dukkha refers to the inherent instability of all impermanent conditioned phenomena.
In the Four Noble Truths, dukkha refers to the experience of the unenlightened mind. This mind habitually reacts to an inner and outer world charaterized by impermanence and instability with craving and attachment. Here, dukkha is the sense of lack, incompletion, hollowness, unsatisfactoriness inseperable from a life founded upon such reactions.
I think the bhante takes dukkha to be synonymous with anicca. This is not the same as suffering as per 4NT.
Change is just a fact of life or the fabric of existence.
Suffering only happens when one expects what is inherently impermanent and unstable/unreliable to be otherwise. The impermanence of anger or depression is in fact a good thing! But expecting to be in a state of bliss all the time is unrealistic and leads to suffering—ditto for good relationships.
In short, impermanence itself is not suffering. That nature of existence is reality and nothing can be done about it. But expecting what is inherently anicca/dukkha to be otherwise is what leads to suffering in the sense intended by the 4NT.
And what is right speech? Abstaining from lying, from divisive speech, from abusive speech, & from idle chatter: This is called right speech.