docs: separate signature and examples

[ST-DDT]

Splits the signature and examples block into two.

Based upon:

• docs: rewrite api-docs generation using ts-morph #2628 (comment)

Not sure which (additional) headers are actually useful.

Before

After

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 99.94%. Comparing base (909ea01) to head (5a96a0e).

Additional details and impacted files

@@            Coverage Diff             @@
##             next    #2962      +/-   ##
==========================================
- Coverage   99.95%   99.94%   -0.02%     
==========================================
  Files        2987     2987              
  Lines      216052   216052              
  Branches      952      597     -355     
==========================================
- Hits       215963   215936      -27     
- Misses         89      116      +27     

see 2 files with indirect coverage changes