fix(liveness): Remove Amplify.API dependency from Liveness

[mattcreaser]

• PR conforms to Pull Request guidelines.

Issue #, if available:
Liveness depended on Amplify API despite not making any API calls. I had to do some digging but eventually found that this dependency was originally added accidentally in a migration in 2023.

Description of changes:

• Removed the API dependency

How did you test these changes?

• Liveness session works as normal

Documentation update required?

• No
• Yes (Please include a PR link for the documentation update)

General Checklist

• Added Unit Tests
• Added Integration Tests
• Security oriented best practices and standards are followed (e.g. using input sanitization, principle of least privilege, etc)
• Ensure commit message has the appropriate scope (e.g fix(liveness): message, fix(authenticator): message, fix(all): message)

By submitting this pull request, I confirm that my contribution is made under the terms of the Apache 2.0 license.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 37.39%. Comparing base (a5c66cb) to head (41451ab).

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #327   +/-   ##
=======================================
  Coverage   37.39%   37.39%           
=======================================
  Files         123      123           
  Lines        5019     5019           
  Branches      707      707           
=======================================
  Hits         1877     1877           
  Misses       2948     2948           
  Partials      194      194           

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