fix(api): Propagate context values

[xaionaro]

See the unit-test.

[mimir-d]

some broken code and questions

[codecov-commenter]

Codecov Report

Patch coverage: 86.66% and project coverage change: +0.03 🎉

Comparison is base (eca9e1e) 61.81% compared to head (e78f3d4) 61.85%.

❗ Current head e78f3d4 differs from pull request most recent head fb97c4d. Consider uploading reports for the commit fb97c4d to get more accurate results

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Additional details and impacted files

@@             Coverage Diff             @@
##           develop     #166      +/-   ##
===========================================
+ Coverage    61.81%   61.85%   +0.03%     
===========================================
  Files          130      131       +1     
  Lines         9214     9228      +14     
===========================================
+ Hits          5696     5708      +12     
- Misses        2847     2849       +2     
  Partials       671      671              

Flag	Coverage Δ
e2e	49.66% <86.66%> (+0.07%)	⬆️
integration	56.95% <86.66%> (+0.09%)	⬆️
unittests	46.13% <73.33%> (+0.53%)	⬆️

Flags with carried forward coverage won't be shown. Click here to find out more.

Impacted Files	Coverage Δ
pkg/api/values_proxy_context.go	83.33% <83.33%> (ø)
pkg/api/api.go	71.62% <100.00%> (+0.38%)	⬆️

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