docs:Fixes #5257

[JJRBEST]

This PR fixes the issue described in Closes #5257

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One or more of the following people are relevant to this code:

• @jyu00
• @beckykd

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[JJRBEST]

I have verified the notebook docs/guides/max-execution-time.ipynb locally using tox and it passes all checks.

The CI currently fails with an AccountNotFoundError due to the lack of IBM Quantum credentials in the forked environment, which is expected. I have attached the proof that the notebook executes correctly locally

[JJRBEST]

Hi, I have addressed the issue and verified the changes locally.
I have run ./fix and ./check in my local environment, and all checks passed successfully.

[JJRBEST]

The notebook executed successfully against real hardware, and tox reported congratulations :). I also confirmed with git diff that the notebook content already matches the version currently in this PR, so no further changes were needed.
Let me know if there's anything else needed for review.

[beckykd]

Thanks for working on this!

[beckykd]

The notebook executed successfully against real hardware, and tox reported congratulations :).

Great! We can ignore the notebook execution error then.

[JJRBEST]

I have added
ibm-cloud-token: ${{ secrets.IBM_CLOUD_TEST_TOKEN }}
instance: ${{ vars.IBM_CLOUD_TEST_CRN }}
to the GitHub repository for testing them, and I have also tested tox and tox -- docs/guides/max-execution-time.ipynb --write --test-strategy=hardware, both of which succeeded.

[beckykd]

I think this is ready to merge now; @jyu00 do you have further comments?

[jyu00]

This looks good. Although @beckykd don't forget to update this page for the Qiskit Runtime name change.

[beckykd]

Great work! Thanks! Using #5436 to run final checks and merge.