NOT YET READY

This does generate the complete structure with resolve and reject, but their types are function() : void, which is invalid TypeScript and coming exactly from JSDoc. Either the source in UI5 Dialog needs to be adapted or the generator needs to reformat the type as it happens for https://github.com/SAP/openui5/blob/f15b7a07506ef1b085f35a5aa43c0d0856dc41e0/src/sap.ui.core/src/sap/ui/core/Core.js#L3325 where the type in dts is () => void.

Yep, the json-fixer now treats @typedef callback parameters like regular method parameters and produces:

/**
   * Escape handler for sap.m.Dialog control.
   */
  export type EscapeHandler = (oHandlers: {
    /**
     * Call this function if the dialog should be closed.
     */
    resolve: () => void;
    /**
     * Call this function if the dialog should not be closed.
     */
    reject: () => void;
  }) => void;