feat: add support for new symbol indexing methods in SII

[AayushSabharwal]

Requires https://github.com/SciML/SymbolicIndexingInterface.jl/pull/18

Checklist

• [x] Appropriate tests were added
• [x] Any code changes were done in a way that does not break public API
• [x] All documentation related to code changes were updated
• [x] The new code follows the contributor guidelines, in particular the SciML Style Guide and COLPRAC.
• [x] Any new documentation only uses public API

Additional context

Add any other context about the problem here.

[codecov[bot]]

Codecov Report

Attention: 35 lines in your changes are missing coverage. Please review.

Comparison is base (f17b506) 30.50% compared to head (1bdb65c) 30.42%.

Files	Patch %	Lines
src/integrator_interface.jl	0.00%	12 Missing :warning:
src/solutions/ode_solutions.jl	0.00%	9 Missing :warning:
src/problems/problem_interface.jl	0.00%	6 Missing :warning:
src/solutions/solution_interface.jl	0.00%	5 Missing :warning:
ext/SciMLBaseZygoteExt.jl	0.00%	2 Missing :warning:
src/ensemble/ensemble_solutions.jl	0.00%	1 Missing :warning:

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #571 +/- ## ========================================== - Coverage 30.50% 30.42% -0.09% ========================================== Files 53 53 Lines 4019 4030 +11 ========================================== Hits 1226 1226 - Misses 2793 2804 +11 ```

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[AayushSabharwal]

CI won't pass, because it depends on MTK

[AayushSabharwal]

cjdoris/julia-downgrade-compat-action@v1 is pinning stdlib dependencies too, so it doesn't resolve on versions other than 1.9

[ChrisRackauckas]

okay, we'll bump to v1.10 soon. Ignore for now