Add option to turn on per outerloop increments

[delippi]

Description

This PR adds the option to turn on writing out per outer loop analysis increment fields if the following is used. The option is off by default.

write_increment_outer_loop_1: true
write_increment_outer_loop_2: true

Issue(s) addressed

In part #518. Turning this on allows us to confirm that delp is updated between outerloops when used as analysis variable and not control variable.

Checklist

• I have performed a self-review of my own code.
• I have run rrfs tests before creating the PR (if applicable).
• Unit tests added/updated (if applicable).

[rrfsbot]

PASSED on hera

started build_and_test on hera at UTC time: Fri Feb 13 18:45:01 UTC 2026
finished at UTC time: Fri Feb 13 19:12:42 UTC 2026

Test project /scratch3/NCEPDEV/fv3-cam/rrfsbot/PRs_RDASApp/537/build/rrfs-test
      Start  6: rrfs_fv3jedi_2024052700_getkf_observer
      Start 15: rrfs_mpasjedi_2024052700_getkf_observer
      Start  1: rrfs_fv3jedi_2024052700_3dvar
      Start  2: rrfs_fv3jedi_2024052700_3denvar
      Start  3: rrfs_fv3jedi_2024052700_3denvar_mgbf
      Start  4: rrfs_fv3jedi_2024052700_hybrid3denvar
      Start  5: rrfs_fv3jedi_2024052700_hybrid3denvar_mgbf
      Start  8: rrfs_fv3jedi_2024052700_3dvar_conv_surface
 1/18 Test  #1: rrfs_fv3jedi_2024052700_3dvar .................   Passed   38.87 sec
      Start  9: rrfs_fv3jedi_2024052700_3dvar_conv_upperair
 2/18 Test  #8: rrfs_fv3jedi_2024052700_3dvar_conv_surface ....   Passed   56.22 sec
      Start 10: rrfs_fv3jedi_2024052700_3dvar_remote
 3/18 Test  #6: rrfs_fv3jedi_2024052700_getkf_observer ........   Passed   58.85 sec
      Start  7: rrfs_fv3jedi_2024052700_getkf_solver
 4/18 Test #10: rrfs_fv3jedi_2024052700_3dvar_remote ..........   Passed   24.43 sec
      Start 11: rrfs_fv3jedi_2024052700_3dvar_satrad
 5/18 Test  #9: rrfs_fv3jedi_2024052700_3dvar_conv_upperair ...   Passed   47.02 sec
      Start 12: rrfs_fv3jedi_2024052700_3denvar_refl
 6/18 Test  #7: rrfs_fv3jedi_2024052700_getkf_solver ..........   Passed   63.50 sec
      Start 13: rrfs_mpasjedi_2024052700_bumploc
 7/18 Test  #2: rrfs_fv3jedi_2024052700_3denvar ...............   Passed  135.34 sec
      Start 14: rrfs_mpasjedi_2024052700_3denvar
 8/18 Test #11: rrfs_fv3jedi_2024052700_3dvar_satrad ..........   Passed   63.13 sec
      Start 17: rrfs_mpasjedi_2024052700_3dvar
 9/18 Test  #4: rrfs_fv3jedi_2024052700_hybrid3denvar .........   Passed  171.55 sec
      Start 18: rrfs_bufr2ioda_msonet
10/18 Test  #5: rrfs_fv3jedi_2024052700_hybrid3denvar_mgbf ....   Passed  181.27 sec
11/18 Test  #3: rrfs_fv3jedi_2024052700_3denvar_mgbf ..........   Passed  181.54 sec
12/18 Test #17: rrfs_mpasjedi_2024052700_3dvar ................   Passed   50.30 sec
13/18 Test #18: rrfs_bufr2ioda_msonet .........................   Passed   23.71 sec
14/18 Test #15: rrfs_mpasjedi_2024052700_getkf_observer .......   Passed  218.15 sec
      Start 16: rrfs_mpasjedi_2024052700_getkf_solver
15/18 Test #14: rrfs_mpasjedi_2024052700_3denvar ..............   Passed  257.55 sec
16/18 Test #16: rrfs_mpasjedi_2024052700_getkf_solver .........   Passed  176.54 sec
17/18 Test #12: rrfs_fv3jedi_2024052700_3denvar_refl ..........   Passed  331.62 sec
18/18 Test #13: rrfs_mpasjedi_2024052700_bumploc ..............   Passed  303.02 sec

100% tests passed, 0 tests failed out of 18

Label Time Summary:
mpi            = 2382.61 sec*proc (18 tests)
rdas-bundle    = 2382.61 sec*proc (18 tests)
script         = 2382.61 sec*proc (18 tests)

Total Test time (real) = 425.40 sec

workdir: /scratch3/NCEPDEV/fv3-cam/rrfsbot/PRs_RDASApp/537

[SamuelDegelia-NOAA]

PASSED on wcoss2

started build_and_test on wcoss2 at UTC time: Fri Feb 13 18:20:01 UTC 2026
finished at UTC time: Fri Feb 13 19:14:48 UTC 2026

Test project /lfs/h2/emc/da/noscrub/samuel.degelia/rrfsbot/PRs_RDASApp/537/build/rrfs-test
      Start  6: rrfs_fv3jedi_2024052700_getkf_observer
      Start 15: rrfs_mpasjedi_2024052700_getkf_observer
      Start  1: rrfs_fv3jedi_2024052700_3dvar
      Start  2: rrfs_fv3jedi_2024052700_3denvar
      Start  3: rrfs_fv3jedi_2024052700_3denvar_mgbf
      Start  4: rrfs_fv3jedi_2024052700_hybrid3denvar
      Start  5: rrfs_fv3jedi_2024052700_hybrid3denvar_mgbf
      Start  8: rrfs_fv3jedi_2024052700_3dvar_conv_surface
      Start  9: rrfs_fv3jedi_2024052700_3dvar_conv_upperair
      Start 10: rrfs_fv3jedi_2024052700_3dvar_remote
 1/18 Test  #1: rrfs_fv3jedi_2024052700_3dvar .................   Passed   85.98 sec
      Start 11: rrfs_fv3jedi_2024052700_3dvar_satrad
 2/18 Test #10: rrfs_fv3jedi_2024052700_3dvar_remote ..........   Passed   85.97 sec
      Start 12: rrfs_fv3jedi_2024052700_3denvar_refl
 3/18 Test  #9: rrfs_fv3jedi_2024052700_3dvar_conv_upperair ...   Passed   98.96 sec
      Start 13: rrfs_mpasjedi_2024052700_bumploc
 4/18 Test  #8: rrfs_fv3jedi_2024052700_3dvar_conv_surface ....   Passed  103.97 sec
      Start 14: rrfs_mpasjedi_2024052700_3denvar
 5/18 Test  #6: rrfs_fv3jedi_2024052700_getkf_observer ........   Passed  147.26 sec
      Start  7: rrfs_fv3jedi_2024052700_getkf_solver
 6/18 Test #11: rrfs_fv3jedi_2024052700_3dvar_satrad ..........   Passed  131.99 sec
      Start 17: rrfs_mpasjedi_2024052700_3dvar
 7/18 Test  #2: rrfs_fv3jedi_2024052700_3denvar ...............   Passed  249.97 sec
      Start 18: rrfs_bufr2ioda_msonet
 8/18 Test  #4: rrfs_fv3jedi_2024052700_hybrid3denvar .........   Passed  251.97 sec
 9/18 Test #18: rrfs_bufr2ioda_msonet .........................   Passed   34.38 sec
10/18 Test  #3: rrfs_fv3jedi_2024052700_3denvar_mgbf ..........   Passed  293.97 sec
11/18 Test  #5: rrfs_fv3jedi_2024052700_hybrid3denvar_mgbf ....   Passed  306.97 sec
12/18 Test  #7: rrfs_fv3jedi_2024052700_getkf_solver ..........   Passed  163.72 sec
13/18 Test #17: rrfs_mpasjedi_2024052700_3dvar ................   Passed  118.00 sec
14/18 Test #13: rrfs_mpasjedi_2024052700_bumploc ..............   Passed  349.99 sec
15/18 Test #15: rrfs_mpasjedi_2024052700_getkf_observer .......   Passed  478.00 sec
      Start 16: rrfs_mpasjedi_2024052700_getkf_solver
16/18 Test #14: rrfs_mpasjedi_2024052700_3denvar ..............   Passed  495.99 sec
17/18 Test #12: rrfs_fv3jedi_2024052700_3denvar_refl ..........   Passed  675.03 sec
18/18 Test #16: rrfs_mpasjedi_2024052700_getkf_solver .........   Passed  313.99 sec

100% tests passed, 0 tests failed out of 18

Label Time Summary:
rdas-bundle    = 4386.09 sec*proc (18 tests)
script         = 4386.09 sec*proc (18 tests)

Total Test time (real) = 792.01 sec

workdir: /lfs/h2/emc/da/noscrub/samuel.degelia/rrfsbot/PRs_RDASApp/537