Qiskit / qiskit-ibm-runtime / 33736433966

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Revise QuantumProgram (and other bits) typing (#3294)

### Summary

Revise some of the typing hints related to the `QuantumProgram` move in
#3206 (only one notable item, see comments), and take the chance to
revise other Pyright warnings (not emitted by `mypy`).

### Details and comments

Fixes #3279

### AI/LLM disclosure

- [x] I used the following tool to generate or modify code: Claude Opus
4.8 (for the registries)

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Co-authored-by: Claude <noreply@anthropic.com>

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