[PWGDQ] update AcrossTFMixing for polarization

[zjxiongOvO]

No description provided.

[github-actions]

O2 linter results: ❌ 127 errors, ⚠️ 838 warnings, 🔕 0 disabled

[alibuild]

Error while checking build/O2Physics/code-check for 8e9ebe7 at 2026-07-06 15:03:

## sw/BUILD/O2Physics-code-check-latest/log
--
========== List of issues found ==========
++ echo 'Found 146 errors and 50 warnings.'
Found 146 errors and 50 warnings.
++ [[ 146 -gt 0 ]]
++ cat /sw/BUILD/d827a026e6c897d888d14d667ceede3e9564f2cc/O2Physics-code-check/errors.txt
PWGDQ/Core/VarManager.h:63:1: error: included header TH3.h is not used directly [misc-include-cleaner,-warnings-as-errors]
PWGDQ/Core/VarManager.h:88:10: error: inclusion of deprecated C++ header 'math.h'; consider using 'cmath' instead [modernize-deprecated-headers,-warnings-as-errors]
PWGDQ/Core/VarManager.h:181:3: error: initial values in enum 'VarManager::BarrelTrackFilteringBits' are not consistent, consider explicit initialization of all, none or only the first enumerator [readability-enum-initial-value,-warnings-as-errors]
PWGDQ/Core/VarManager.h:197:2: error: redundant access specifier has the same accessibility as the previous access specifier [readability-redundant-access-specifiers,-warnings-as-errors]
PWGDQ/Core/VarManager.h:198:3: error: initial values in enum 'VarManager::Variables' are not consistent, consider explicit initialization of all, none or only the first enumerator [readability-enum-initial-value,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1190:10: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1191:10: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1211:49: error: the const qualified parameter 'usedVars' is copied for each invocation; consider making it a reference [performance-unnecessary-value-param,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1392:15: error: function 'VarManager::FillTwoEvents' has a definition with different parameter names [readability-inconsistent-declaration-parameter-name,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1394:15: error: function 'VarManager::FillTwoMixEvents' has a definition with different parameter names [readability-inconsistent-declaration-parameter-name,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1398:15: error: function 'VarManager::FillTwoMixEventsCumulants' has a definition with different parameter names [readability-inconsistent-declaration-parameter-name,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1402:15: error: function 'VarManager::FillPhoton' has a definition with different parameter names [readability-inconsistent-declaration-parameter-name,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1440:15: error: function 'VarManager::FillQuadMC' has a definition with different parameter names [readability-inconsistent-declaration-parameter-name,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1496:18: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1496:71: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1500:18: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1500:67: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1504:18: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1504:67: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1508:18: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1508:69: error: use 'contains' to check for membership [readability-container-contains,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1530:14: error: use nullptr [modernize-use-nullptr,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1531:7: error: do not use 'else' after 'return' [readability-else-after-return,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1553:2: error: redundant access specifier has the same accessibility as the previous access specifier [readability-redundant-access-specifiers,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1557:10: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1561:10: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1605:10: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1653:3: error: uninitialized record type: 'trkpos_par' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1654:3: error: uninitialized record type: 'trkmom_par' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1655:3: error: uninitialized record type: 'trk_cov' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1659:3: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1661:3: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1666:26: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1667:32: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1679:3: error: uninitialized record type: 'trk_cov' [cppcoreguidelines-pro-type-member-init,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1681:3: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1683:3: error: do not declare C-style arrays, use 'std::array' instead [modernize-avoid-c-arrays,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1688:26: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1689:32: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1742:51: error: passing result of std::move() as a const reference argument; no move will actually happen [performance-move-const-arg,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1742:70: error: std::move of the variable 'vtxCov' of the trivially-copyable type 'std::array<float, 6>' has no effect; remove std::move() [performance-move-const-arg,-warnings-as-errors]
PWGDQ/Core/VarManager.h:1798:14: error: do not implicitly decay an array into a pointer; consider using gsl::array_view or an explicit cast instead [cppcoreguidelines-pro-bounds-array-to-pointer-decay,-warnings-as-errors]
[0 more errors; see full log]

Full log here.