[PWGCF] Updated the lambdaSpinPolarization.cxx task with new configurations related to the Mixed events and derived-tables

[subhadee-ali]

1. Mixed events: leg 2 is replaced by its kinematic matches only
2. New cSharedDauRule for candidates sharing a daughter track:
3. The pair, mixing and derived-table processes skip collisions with fewer than the cMinCandPerEvent

[github-actions]

O2 linter results: ❌ 0 errors, ⚠️ 0 warnings, 🔕 0 disabled

[alibuild]

Error while checking build/O2Physics/code-check for c0a3865 at 2026-10-08 23:58:

## sw/BUILD/O2Physics-code-check-latest/log
--
========== List of issues found ==========
++ echo 'Found 5 errors and 12 warnings.'
Found 5 errors and 12 warnings.
++ [[ 5 -gt 0 ]]
++ cat /sw/BUILD/eae3d882af033b604955dd783ace33b30414b270/O2Physics-code-check/errors.txt
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:33:1: error: included header ASoAHelpers.h is not used directly [misc-include-cleaner,-warnings-as-errors]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:37:1: error: included header BinningPolicy.h is not used directly [misc-include-cleaner,-warnings-as-errors]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:48:1: error: included header TH2.h is not used directly [misc-include-cleaner,-warnings-as-errors]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1617:7: error: Variable 'decade' with floating point type 'double' should not be used as a loop counter [clang-analyzer-security.FloatLoopCounter,-warnings-as-errors]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1661:27: error: either cast from 'Int_t' (aka 'int') to 'std::size_t' (aka 'unsigned long') is ineffective, or there is loss of precision before the conversion [bugprone-misplaced-widening-cast,-warnings-as-errors]
++ [[ 12 -gt 0 ]]
++ cat /sw/BUILD/eae3d882af033b604955dd783ace33b30414b270/O2Physics-code-check/warnings.txt
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1392:32: warning: initializer for member 'legAxesRef' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1453:29: warning: use designated initializer list to initialize 'Slot' [modernize-use-designated-initializers]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1454:81: warning: use designated initializer list to initialize 'Cell' [modernize-use-designated-initializers]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1557:27: warning: initializer for member 'slots' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1558:30: warning: initializer for member 'nPerEvent' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1563:35: warning: initializer for member 'mePools' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1564:38: warning: initializer for member 'mePoolsGen' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1565:23: warning: initializer for member 'mePoolAxisCent' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1566:21: warning: initializer for member 'mePoolAxisVz' is redundant [readability-redundant-member-init]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1592:9: warning: boolean expression can be simplified by DeMorgan's theorem [readability-simplify-boolean-expr]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1971:9: warning: implicit conversion 'const TNamed *' -> 'bool' [readability-implicit-bool-conversion]
PWGCF/TwoParticleCorrelations/Tasks/lambdaSpinPolarization.cxx:1982:30: warning: do not use static_cast to downcast from a base to a derived class; use dynamic_cast instead [cppcoreguidelines-pro-type-static-cast-downcast]
++ [[ 5 -gt 0 ]]
++ exit 1
--

Full log here.