Simplify AD headers and remove DualReal from the repo

[lindsayad]

Inspired by development in #27529

Reason

The AD headers were a labyrinth

Design

Consolidate the headers and also remove all occurrences of DualReal in favor of ADReal

Impact

Easier to follow AD headers

[moosebuild]

Job Precheck on 5d2d3ed wanted to post the following:

Your code requires style changes.

A patch was auto generated and copied here
You can directly apply the patch by running, in the top level of your repository:

curl -s https://mooseframework.inl.gov/docs/PRs/27582/clang_format/style.patch | git apply -v

Alternatively, with your repository up to date and in the top level of your repository:

git clang-format 82d4457f6b164d77d42bd5a43425397e6fbc49c3

[moosebuild]

Job Precheck on f86e7b5 wanted to post the following:

A change of the following file(s) triggered this check:

libmesh

The following file(s) are unchanged:

conda/mpich/conda_build_config.yaml
conda/libmesh/meta.yaml

The libmesh submodule or configuration was changed but the conda build config was not

[moosebuild]

Job Documentation on abe1513 wanted to post the following:

View the site here

This comment will be updated on new commits.

[moosebuild]

Job Coverage on abe1513 wanted to post the following:

Framework coverage

	639315	#27582 abe151
	Total	Total	+/-	New
Rate	85.08%	85.08%	-0.00%	31.15%
Hits	103065	103062	-3	19
Misses	18069	18070	+1	42

Diff coverage report

Full coverage report

Modules coverage

Fluid properties

	639315	#27582 abe151
	Total	Total	+/-	New
Rate	85.47%	85.47%	-	66.07%
Hits	7261	7261	-	74
Misses	1234	1234	-	38

Diff coverage report

Full coverage report

Geochemistry

	639315	#27582 abe151
	Total	Total	+/-	New
Rate	96.18%	96.18%	-	100.00%
Hits	5155	5155	-	1
Misses	205	205	-	0

Diff coverage report

Full coverage report

Navier stokes

	639315	#27582 abe151
	Total	Total	+/-	New
Rate	83.87%	83.87%	-	100.00%
Hits	15983	15983	-	1
Misses	3073	3073	-	0

Diff coverage report

Full coverage report

Full coverage reports

Reports

• framework
• chemical_reactions
• combined
• contact
• electromagnetics
• external_petsc_solver
• fluid_properties
• fsi
• functional_expansion_tools
• geochemistry
• heat_transfer
• level_set
• misc
• navier_stokes
• optimization
• peridynamics
• phase_field
• porous_flow
• ray_tracing
• rdg
• reactor
• richards
• scalar_transport
• solid_mechanics
• solid_properties
• stochastic_tools
• thermal_hydraulics
• xfem

Warnings

• framework new line coverage rate 31.15% is less than the suggested 90.0%
• fluid_properties new line coverage rate 66.07% is less than the suggested 90.0%

This comment will be updated on new commits.

[moosebuild]

Job Clang min debug on 0bfc54e : invalidated by @lindsayad

[GiudGiud]

Wasnt DualReal meant to more efficient? But was it?

[lindsayad]

ADReal and DualReal were the exact same types

[GiudGiud]

almost done no comment so far

[moosebuild]

Job Internal app tests on abe1513 : invalidated by @lindsayad

[moosebuild]

Job Documentation internal apps on abe1513 : invalidated by @lindsayad