Your Lawyers Mutual policy requires you to report any act or omission that might reasonably lead to a claim against you. That is a broad requirement. You must report both actual and potential claims.
Your policy states in section IV. Notice of Claim or Suit: "as conditions precedent to coverage afforded by this policy, upon any Insured becoming aware of any act(s) or omission(s) which could reasonably be expected to be the basis of a claim or suit covered hereby, notice thereof must be reported to the Company as soon as practicable, together with the fullest information obtainable; and if claim is made or suit is brought against any Insured, such Insured shall immediately report to the Company such claim or suit, and immediately deliver, or cause to be delivered, to the Company, at its offices, 5020 Weston Parkway, Suite 200, P. O. Box 1929, Cary, North Carolina, 27512-1929, every demand, notice, pleading and summons or other process received by such Insured."