feat: add support for new symbol indexing methods in SII

[AayushSabharwal]

Requires SciML/SymbolicIndexingInterface.jl#18

Checklist

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

Additional context

Add any other context about the problem here.

[codecov]

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 ⚠️
src/solutions/ode_solutions.jl	0.00%	9 Missing ⚠️
src/problems/problem_interface.jl	0.00%	6 Missing ⚠️
src/solutions/solution_interface.jl	0.00%	5 Missing ⚠️
ext/SciMLBaseZygoteExt.jl	0.00%	2 Missing ⚠️
src/ensemble/ensemble_solutions.jl	0.00%	1 Missing ⚠️

Additional details and impacted files

@@            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     

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[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