Latest pytket-qiskit incompatible with pytket-pyquil

[cqc-alec]

Both are installed for the examples and manual, but the latest version of pytket-qiskit requires pydantic 2 while the latest version of pytkey-pyquil requires pydantic 1. This causes errors when testing the examples.

I suggest removing pytket-pyquil from the examples and manual.

[CalMacCQ]

Both are mentioned in the examples in the manual but it looks like pytket-pyquil code is only expecuted in two example notebooks( there are no executed cells with pytket-pyquil code in the manual at the moment)
https://github.com/search?q=repo%3ACQCL%2Fpytket-docs%20pyquil&type=code

pytket-pyquil is also not a dependency of the manual build (only the examples)-> https://github.com/CQCL/pytket-docs/blob/main/manual_requirements.txt

[cqc-melf]

@CalMacCQ Can you please check with me, I have been starting to look into this for the release.

[cqc-melf]

See rigetti/qcs-api-client-python#13

[cqc-melf]

We have currently disabled the corresponding notebook, we should add that back in when pyquil is updated.