Qiskit / qiskit-ibm-runtime / 37957782567

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Removed deprecated post-selection options from NLV3 (#3466)

### Summary
This PR removes the deprecated `post_selection` field from
`NoiseLearnerV3Options`

### Details and comments

Part of #2738

### 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:

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Co-authored-by: Diego M. Rodríguez <diego.plan9@gmail.com>

5 of 5 new or added lines in 3 files covered. (100.0%)

8644 of 9490 relevant lines covered (91.09%)

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