eslint-plugin-jsdoc doesn't pick up global JSDocs like Typescript does

bar.js

/**
 * @typedef {123} Bar
 */
// Bar is a "global JSDoc type"

eslint.log

soil:t michael$ yarn lint
yarn run v1.22.4
$ eslint '**/*.js'

/Users/michael/t/expected-error.js
  4:0  warning  The type 'Bar' is undefined  jsdoc/no-undefined-types

/Users/michael/t/foo.js
  4:0  warning  The type 'Bar' is undefined  jsdoc/no-undefined-types

✖ 2 problems (0 errors, 2 warnings)

✨  Done in 0.75s.
soil:t michael$ 

expected-error.js

// @ts-check

/**
 * @type {Bar}
 */
export const err = 99;
// Would expect no ESLint warnings, but we get:
// /Users/michael/t/expected-error.js
//   4:0  warning  The type 'Bar' is undefined  jsdoc/no-undefined-types
//
// As expected from Typescript:
// expected-error.js:6:14 - error TS2322: Type '99' is not assignable to type '123'.

foo.js

// @ts-check

/**
 * @type {Bar}
 */
export const foo = 123;
// Would expect no errors or warnings from ESLint, but instead we get
// /Users/michael/t/foo.js
//   4:0  warning  The type 'Bar' is undefined  jsdoc/no-undefined-types

jsconfig.json

// This file can contain .js-specific Typescript compiler config.
{
  "compilerOptions": {
    "target": "esnext",

    "noEmit": true,
    "downlevelIteration": true,
    "strictNullChecks": true,
    "moduleResolution": "node",
  },
  "include": ["**/*.js"],
}

package.json

{
  "name": "t",
  "version": "1.0.0",
  "private": true,
  "main": "foo.js",
  "author": "Michael FIG <michael+eslint@fig.org>",
  "license": "MIT",
  "devDependencies": {
    "@typescript-eslint/parser": "^4.1.0",
    "eslint": "^7.8.1",
    "eslint-plugin-jsdoc": "^30.4.2",
    "typescript": "^4.0.2"
  },
  "scripts": {
    "lint": "eslint '**/*.js'",
    "lint:types": "tsc -p jsconfig.json"
  },
  "eslintConfig": {
    "extends": [
      "plugin:jsdoc/recommended"
    ],
    "parser": "@typescript-eslint/parser",
    "env": {
      "es6": true
    }
  }
}