Add --suppress-info option (#31883)

[kyriv-lab]

Summary

Fixes #31883 by adding a new global command-line option:

--suppress-info

This suppresses MOOSE informational messages emitted through mooseInfo() and mooseInfoRepeated().

## Motivation

Info messages are useful when running an input for the first time, but they can become noisy when repeatedly running variations of the same
input, especially for large problems.

## Behavior

### Before

./moose_test-opt -i input.i

Could emit informational messages like:

*** Info ***
Suppress info test

There was no command-line option to suppress only these messages.

### After

Default behavior is unchanged:

./moose_test-opt -i input.i

Still emits info messages.

With the new flag:

./moose_test-opt -i input.i --suppress-info

mooseInfo() / mooseInfoRepeated() messages are omitted.

## Scope

This intentionally only suppresses informational messages. It does not suppress:

- mooseWarning()
- mooseDeprecated()
- mooseError()
- application headers
- --help, --version, syntax dumps
- normal Moose::out / console output
- simulation output

## Testing

Added regression coverage using Terminator INFO output:

- default run expects the info message
- --suppress-info run expects the info message to be absent

[moosebuild]

Job Precheck, step Clang format on 3e8eeb1 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/33380/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 8581c3bc89ed6246e919f04056c5d84f244522f8

[moosebuild]

Job Documentation, step Docs: sync website on 13510a5 wanted to post the following:

View the site here

This comment will be updated on new commits.

[moosebuild]

Job Coverage, step Generate coverage on 547b29c wanted to post the following:

Framework coverage

	8581c3	#33380 547b29
	Total	Total	+/-	New
Rate	86.00%	86.00%	+0.00%	100.00%
Hits	137214	137223	+9	11
Misses	22333	22334	+1	0

Diff coverage report

Full coverage report

Modules coverage

Coverage did not change

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
• scalar_transport
• solid_mechanics
• solid_properties
• stochastic_tools
• subchannel
• thermal_hydraulics
• xfem

This comment will be updated on new commits.

[chatgpt-codex-connector]

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[moosebuild]

Job Test, step Results summary on 13510a5 wanted to post the following:

Framework test summary

Compared against 369e659 in job civet.inl.gov/job/3987613.

Added tests

Test	Time (s)	Memory (MB)
userobjects/Terminator.suppress_info	0.93	93.47
userobjects/Terminator.terminator_info	0.89	108.37
userobjects/Terminator.suppress_info_multiapp_scope	0.73	128.54

Modules test summary

Compared against 369e659 in job civet.inl.gov/job/3987613.

No change