A recognisable situation
Two advisers strongly disagree on an approach. One says: "Your concern about the timing is justified. Yet I think the proposed solution carries too much risk." By first recognising the valid point, the difference becomes clearer rather than weaker.
A question to consider
What becomes easier to discuss if you honestly acknowledge what the other does well, without letting go of your own viewpoint?
In plain words
Acknowledgement is not capitulation. You can say that someone is right on one point, has done something well, or has a comprehensible concern, while maintaining your own position.
The nuance
Do not give compliments you do not mean. Artificial acknowledgement quickly feels like a technique.
Explanation in own words at What truly moves people and the speaker's compass. Book p. 129; speaker's compass p. 33.
Practice this insight