…mpProcesses

This fixes the test failures in Interface1 and Interface2 by properly implementing
TauLeaping algorithm support for DiscreteProblem when used with JumpProcesses.

The issue was that TauLeaping algorithms were not properly integrated with
DiscreteProblem, causing multiple dispatch failures. The fixes include:

1. **Method dispatch**: Extended __init signature to handle DiscreteProblem with
   StochasticDiffEqJumpAdaptiveAlgorithm

2. **Algorithm compatibility**: Added alg_compatible method for DiscreteProblem
   with TauLeaping algorithms

3. **Assertion fixes**: Updated assertions to accept both JumpProblem and
   DiscreteProblem

4. **Cache initialization**: Handle case where jump_rate_prototype is Nothing
   for discrete problems

5. **Initial timestep**: Skip noise function access for DiscreteProblem (no 'g' field)

6. **Noise handling**: Handle cases where jump process P is Nothing in perform_step!

7. **Adaptive stepping**: Add guards for adaptive stepping when P is Nothing

These changes restore the callback saving functionality from PR SciML#629 while
properly fixing the underlying TauLeaping integration issues that were
exposed by dependency updates.

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>