Build enough proof that doubt has to update its argument.

Doubt, whether yours or someone else’s, runs on the available evidence. Argument rarely moves it, because it is not really an argument. Accumulated proof does move it, since eventually the story has to account for what you have actually done, and at some point the old story stops fitting.

Stop trying to convince and start building the record. One completed thing does more than a year of explanation, and the evidence does not need your help to be persuasive.