chore: remove test script from types package

[mayurkale22]

Which problem is this PR solving?

• Updates coverage runs take 2 min out of every circleci build #481

• Remove redundant compile and gts check inside test script.

[codecov-io]

Codecov Report

Merging #511 into master will increase coverage by 3.88%.
The diff coverage is n/a.

@@            Coverage Diff             @@
##           master     #511      +/-   ##
==========================================
+ Coverage   88.66%   92.55%   +3.88%     
==========================================
  Files         124      137      +13     
  Lines        6054     6543     +489     
  Branches      559      587      +28     
==========================================
+ Hits         5368     6056     +688     
+ Misses        686      487     -199

Impacted Files	Coverage Δ
...es/opentelemetry-node/src/instrumentation/utils.ts	90.47% <0%> (-9.53%)	⬇️
...ges/opentelemetry-tracing/src/NoopSpanProcessor.ts	66.66% <0%> (-8.34%)	⬇️
...ges/opentelemetry-core/src/common/ConsoleLogger.ts	90.9% <0%> (-3.21%)	⬇️
...telemetry-core/src/context/propagation/B3Format.ts	95.83% <0%> (-1.31%)	⬇️
packages/opentelemetry-tracing/src/config.ts	100% <0%> (ø)	⬆️
packages/opentelemetry-tracing/src/utility.ts	100% <0%> (ø)	⬆️
...ges/opentelemetry-exporter-zipkin/src/transform.ts	100% <0%> (ø)	⬆️
...core/src/context/propagation/NoopHttpTextFormat.ts	100% <0%> (ø)	⬆️
packages/opentelemetry-tracing/test/Span.test.ts	100% <0%> (ø)	⬆️
.../opentelemetry-exporter-zipkin/test/zipkin.test.ts	100% <0%> (ø)	⬆️
... and 41 more