chore: fix circular dependency between lib.ts and sdk.ts

[schaeferka]

Description

There is a circular dependency between lib.ts and sdk.ts that should be fixed.

In addition, the duplicate code related to types.ts and mutate-types.ts needs to be resolved.
...

End to End Test:
(See Pepr Excellent Examples)

Related Issue

Fixes #1349

Relates to #

Type of change

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Other (security config, docs update, etc)

Checklist before merging

• Unit, Journey, E2E Tests, docs, adr added or updated as needed
• Contributor Guide Steps followed

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 79.35%. Comparing base (58633b8) to head (4b41963).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1348      +/-   ##
==========================================
- Coverage   79.36%   79.35%   -0.02%     
==========================================
  Files          38       37       -1     
  Lines        1793     1792       -1     
  Branches      363      363              
==========================================
- Hits         1423     1422       -1     
  Misses        368      368              
  Partials        2        2              

Files with missing lines	Coverage Δ
src/lib/capability.ts	94.90% <100.00%> (ø)
src/lib/enums.ts	100.00% <100.00%> (ø)
src/lib/filter/adjudicators.ts	100.00% <100.00%> (ø)
src/lib/filter/filtersWithLogs.ts	98.83% <100.00%> (ø)
src/lib/finalizer.ts	100.00% <100.00%> (ø)
src/lib/mutate-request.ts	100.00% <100.00%> (ø)
src/lib/validate-request.ts	100.00% <100.00%> (ø)
src/lib/watch-processor.ts	79.20% <100.00%> (ø)
src/sdk/sdk.ts	100.00% <ø> (ø)