What changed

• centralize projection from zero-based time-iteration labels to physical solver time
• evaluate direct dual-time target states at (TimeIter + 1) * deltaT
• use the projected time for grid and surface motion, gusts, solver globals, and history output
• preserve zero-based output/restart labels and existing adjoint and harmonic-balance interpretations
• add configuration and first-step rigid-motion regression coverage

Why

In implicit dual-time schemes, TimeIter is a zero-based artifact/restart label, while the state being solved represents the end of that physical step. Several consumers reconstructed physical time directly as TimeIter * deltaT, causing the first implicit state to use time zero for time-varying motion and forcing terms.

This separates artifact identity from target-state time without renumbering restart or output files.

Related to #2353.

Validation

• built SU2_CFD/src/SU2_CFD
• built UnitTests/test_driver
• passed [CConfig][time]: 2 test cases, 12 assertions
• bounded dual-time integration case retained Time_Iter = 0 and flow_00000.vtk while reporting Cur_Time = 0.01

The full SU2 regression matrix and complete adjoint regression suites were not run.