Use qiskit-ibm-runtime in local mode in cutting tutorials

[garrison]

Following https://docs.quantum.ibm.com/api/migration-guides/local-simulators and #500 (comment), it'd be great to bring our cutting tutorials in line with using Sampler or SamplerV2 from qiskit-ibm-runtime, together with either AerSimulator or (likely even better) a fake backend from qiskit-ibm-runtime. Then, we will no longer need to use the Sampler from Qiskit Aer, and it will be more obvious how to use the code with Qiskit Runtime without having a special commented-out block in each tutorial.

One thing that needs to happen first is that Qiskit/qiskit-ibm-runtime#1558 must make it into a release of qiskit-ibm-runtime.