fix(ci): missing ts modules from typegate image

[Yohe-Am]

Adds a check step to the typegate's Dockerfile and converts the .dockerignore to be a whitelist.

Motivation and context

The image for 0.3.3 has some files missing.

Migration notes

No changes required

Checklist

• The change come with new or modified tests
• Hard-to-understand functions have explanatory comments
• End-user documentation is updated to reflect the change

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Comparison is base (586e70c) 73.75% compared to head (724b8cd) 73.75%.

Additional details and impacted files

@@           Coverage Diff           @@
##             main     #577   +/-   ##
=======================================
  Coverage   73.75%   73.75%           
=======================================
  Files         100      100           
  Lines       11610    11610           
  Branches     1238     1238           
=======================================
  Hits         8563     8563           
  Misses       3027     3027           
  Partials       20       20           

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