make initial soc work with half cell models

[aabills]

Description

Adds methods to use initial soc with half-cell models

Also fixes a spelling mistake I saw, lolz.

@tinosulzer it sounds like is redoing much of this anyway, so this could be considered a hot fix for now given that it may be overwritten soon.

I'd love it if this got into 23.9 as a bug fix so that I don't have to pin to some weird branch waiting for the next version, but understand if that's not possible. If I need to branch off 23.9 to make that happen, I would be happy to do so.

Fixes # (issue)
Fixes #3224

Type of change

Please add a line in the relevant section of CHANGELOG.md to document the change (include PR #) - note reverse order of PR #s. If necessary, also add to the list of breaking changes.

• New feature (non-breaking change which adds functionality)
• Optimization (back-end change that speeds up the code)
• Bug fix (non-breaking change which fixes an issue)

Key checklist:

• No style issues: $ pre-commit run (or $ nox -s pre-commit) (see CONTRIBUTING.md for how to set this up to run automatically when committing locally, in just two lines of code)
• All tests pass: $ python run-tests.py --all (or $ nox -s tests)
• The documentation builds: $ python run-tests.py --doctest (or $ nox -s doctests)

You can run integration tests, unit tests, and doctests together at once, using $ python run-tests.py --quick (or $ nox -s quick).

Further checks:

• Code is commented, particularly in hard-to-understand areas
• Tests added that prove fix is effective or that feature works

[valentinsulzer]

Looks good to me if tests and coverage pass

[aabills]

Can you run the workflows?

[codecov]

Codecov Report

All modified lines are covered by tests ✅

Comparison is base (8429903) 99.58% compared to head (7f6d55a) 99.58%.
Report is 26 commits behind head on develop.

Additional details and impacted files

@@           Coverage Diff            @@
##           develop    #3456   +/-   ##
========================================
  Coverage    99.58%   99.58%           
========================================
  Files          256      256           
  Lines        20003    20048   +45     
========================================
+ Hits         19920    19965   +45     
  Misses          83       83           

Files	Coverage Δ
...m/models/full_battery_models/base_battery_model.py	99.13% <ø> (ø)
...models/full_battery_models/lithium_ion/__init__.py	100.00% <100.00%> (ø)
...tery_models/lithium_ion/electrode_soh_half_cell.py	100.00% <100.00%> (ø)
pybamm/parameters/parameter_values.py	100.00% <100.00%> (ø)
pybamm/simulation.py	99.55% <100.00%> (+<0.01%)	⬆️

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[aabills]

coverage should be at or very near 100% now

[Saransh-cpp]

I'd love it if this got into 23.9 as a bug fix so that I don't have to pin to some weird branch waiting for the next version, but understand if that's not possible. If I need to branch off 23.9 to make that happen, I would be happy to do so.

Just read this. Adding this into the future rc1 release.