Short answer. Only if your lawyer represented the person who died. Rule 3, Section 16 places the duty to inform the court within thirty days on counsel for the deceased party specifically, not on the opposing side's lawyer, and failure to comply is expressly listed as a ground for disciplinary action.
What the law says
it shall be the duty of his counsel to inform the court within thirty days after such death of the fact thereof, and to give the name and address of his legal representative or representatives
Rule 3, Section 16 — Death of party; duty of counsel. Read the full provision →
What the law says
Failure of counsel to comply with this duty shall be a ground for disciplinary action
Rule 3, Section 16 — Death of party; duty of counsel. Read the full provision →
Whose duty this actually is
Rule 3, Section 16 does not put this duty on whichever lawyer happens to learn of the death first — it puts it specifically on the counsel of the party who died. The rule states that it shall be the duty of his counsel to inform the court within thirty days after such death of the fact thereof, and to give the name and address of his legal representative or representatives. If it is the person you are suing who died, that person's own lawyer carries this obligation, not yours. Before assuming your own lawyer dropped the ball, it matters whose client actually passed away and which lawyer represented that side of the case.
Failure to report is an express ground for discipline
If the lawyer who owed this duty stayed silent, the rule does not leave the consequence vague. It states plainly that failure of counsel to comply with this duty shall be a ground for disciplinary action. That is a direct textual basis, not something inferred from a lawyer's general obligations to the court. It does not by itself mean discipline will automatically follow, since that is a separate process, but it does mean the omission is not treated as a harmless slip under this rule.
What is supposed to happen once the death is reported
When the death is properly reported, the rule lays out what comes next. The heirs of the deceased may be substituted for the deceased without needing an executor or administrator appointed first, and the court may appoint a guardian ad litem for any minor heirs. The court then orders the named legal representative to appear and be substituted within thirty days from notice. If counsel names no legal representative, or the one named fails to appear within that period, the court may instead order the opposing party to procure the appointment of an executor or administrator for the deceased's estate, and that administrator then appears on the deceased's behalf. Costs the opposing party spends securing that appointment may be recovered as costs.
If the missed report was your own lawyer's
If your lawyer was in fact counsel for the party who died and the thirty-day report was missed, that omission falls squarely within what the rule calls a ground for disciplinary action. What to do about that is a separate question from how the underlying case proceeds, and it is worth raising directly with your lawyer first, since the pending case and any accountability for the missed report do not have to be resolved the same way or on the same timeline.