[repo-shared] Remove the new() constraint from Options API helpers

[CodeBlanch]

[Originally part of #5400]

Changes

• Remove the new() constraint from Options API helpers. This was required on TOptions when using IOptionsFactory<TOptions> v3.1 but was later removed IOptionsFactory<TOptions> v5.0.

Merge requirement checklist

• CONTRIBUTING guidelines followed (license requirements, nullable enabled, static analysis, etc.)

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 84.34%. Comparing base (6250307) to head (9b85a42).
Report is 117 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #5422      +/-   ##
==========================================
+ Coverage   83.38%   84.34%   +0.95%     
==========================================
  Files         297      281      -16     
  Lines       12531    12082     -449     
==========================================
- Hits        10449    10190     -259     
+ Misses       2082     1892     -190     

Flag	Coverage Δ
unittests	?
unittests-Instrumentation-Experimental	24.35% <ø> (?)
unittests-Instrumentation-Stable	24.38% <ø> (?)
unittests-Solution-Experimental	84.78% <ø> (?)
unittests-Solution-Stable	84.75% <ø> (?)

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see 70 files with indirect coverage changes