Add queryClient to overview and quick-start docs, along with a few other things that feel like they should be there.

[AppSynergy]

🎯 Changes

#1039 (comment)

Experiences of a first time user being a bit confused by some of the documentation, does this look any use?

• Affects examples in overview and quick-start docs.
• Adds queryClient to several snippets, seems like this is required to be there.
• Also adds getKey to one, for similar reasons.
• Ignores those that are clearly incomplete, e.g. // ...your config.
• Adds await and .json() to one example, making it more similar to the others and more likely to be the right type.
• Adds an interface to the main example on quick-start, allowing type inference to work, hopefully making it complete.

✅ Checklist

• I have followed the steps in the Contributing guide.
• I have tested this code locally with pnpm test:pr.

• Docs only, and CONTRIBUTING.md doesn't seem to exist.
• Have tested only as much as checking that eslint is happier with these examples now.

🚀 Release Impact

• This change affects published code, and I have generated a changeset.
• This change is docs/CI/dev-only (no release).

[changeset-bot]

⚠️ No Changeset found

Latest commit: 5cfaf86

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