Tree search, throw vs array vs null

Regressive search, throw vs array vs null

// Con, un-used catch, performance?, un-used catch is a codesmell 
function findPage(pid, pages:IPage[]): IPage {
  for(const page of pages) {
    if (page.pageId === pid) return page;

    if(page.subPages.length > 0) {
      try {
        return findPage(pid, page.subPages);
      } catch {}
    }
  }

  throw(`${pid} not found`);
}

// Con, not the desired return type, nullcheck with extra steps?
function findPage2(pid, pages:IPage[]): IPage[] {
  for(const page of pages) {
    if (page.pageId === pid) return [page];

    if(page.subPages.length > 0) {
      const sp = findPage2(pid, page.subPages);
      if (sp.length > 0) return sp;
    }
  }

  return []
}

// Con, changed return type, NullExceptions likely
function findPageNull(pid, pages:IPage[]): IPage[] {
  for(const page of pages) {
    if (page.pageId === pid) return [page];

    if(page.subPages.length > 0) {
      const sp = findPageNull(pid, page.subPages);
      if (sp !== null) return sp;
    }
  }

  return null
}