[BD-46] docs: update and fix example app

[monteri]

Description

According to Typescript release in Paragon, example app started crashing. This PR includes fixes. Also there updates to dependencies in the example app.

Merge Checklist

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[codecov[bot]]

Codecov Report

Base: 91.57% // Head: 91.57% // No change to project coverage :thumbsup:

Coverage data is based on head (e5e3b38) compared to base (ee3cd3d). Patch has no changes to coverable lines.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #1597   +/-   ##
=======================================
  Coverage   91.57%   91.57%           
=======================================
  Files         208      208           
  Lines        3537     3537           
  Branches      821      821           
=======================================
  Hits         3239     3239           
  Misses        283      283           
  Partials       15       15           

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[edx-semantic-release]

:tada: This PR is included in version 20.14.0 :tada:

The release is available on:

• npm package (@latest dist-tag)
• GitHub release

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