Qiskit / qiskit-ibm-runtime / 29857925125

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Add AerExecutor from qiskit-noise-learning (#3067)

### Summary

This PR copy/pastes aer-executor and tests from qiskit-noise-learning
([link](https://github.com/Qiskit/qiskit-noise-learning/tree/main/qiskit_noise_learning/aer_executor))
into qiskit-ibm-runtime.

### Details and comments

A few changes were made to the original files:

- The files have been reformatted in the style required by
qiskit-ibm-runtime.
- The
[inline.py](https://github.com/Qiskit/qiskit-noise-learning/blob/main/qiskit_noise_learning/aer_executor/inline.py)
file was left behind, as per discussions with @samanthavbarron.
- The qiskit-aer dependency is dealt with in the same way as in the
[neat.py](https://github.com/Qiskit/qiskit-ibm-runtime/blob/main/qiskit_ibm_runtime/debug_tools/neat.py)
file, namely:
- Files that need qiskit-aer do not import qiskit-aer, they only try to
do so. If they succeed, they set HAS_QISKIT_AER` to `True`, otherwise
they set it to `False`.
- The classes and functions that require qiskit-aer raise an error
whenever `HAS_QISKIT_AER` is `False.

This PR does not:

- Add new tests or docstrings.
- Improve logic or fix bugs.

Fixes #3066

### AI/LLM disclosure

- [x] I didn't use LLM tooling, or only used it privately.
- [ ] I used the following tool to help write this PR description:
- [ ] I used the following tool to generate or modify code:

---------

Co-authored-by: Ian Hincks <ian.hincks@ibm.com>
Co-authored-by: Samantha Barron <sam@sambarron.me>
Co-authored-by: aeddins-ibm <60495383+aeddins-ibm@users.noreply.github.com>
Co-authored-by: dekelmeirom <33314493+dekelmeirom@users.noreply.github.com>

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