[Hyperdrive] Updating docs with accurate error handling + pg version

[Oxyjun]

Summary

closes #23250

Screenshots (optional)

Documentation checklist

• The documentation style guide has been adhered to.
• If a larger change - such as adding a new page- an issue has been opened in relation to any incorrect or out of date information that this PR fixes.
• Files which have changed name or location have been allocated redirects.

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PR Change Summary

Updated documentation to improve accuracy in error handling and reflect the latest PostgreSQL version.

• Clarified error handling procedures in the documentation.
• Removed outdated installation instructions for the node-postgres driver.

Modified Files

• src/content/docs/hyperdrive/examples/connect-to-postgres/index.mdx

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[github-actions]

This pull request requires reviews from CODEOWNERS as it changes files that match the following patterns:

Pattern	Owners
/src/content/docs/hyperdrive/	@elithrar, @thomasgauvin, @sejoker, @oxyjun, @cloudflare/pcx-technical-writing
/src/content/partials/hyperdrive/	@elithrar, @thomasgauvin, @sejoker, @oxyjun, @cloudflare/pcx-technical-writing

[github-actions]

Preview URL: https://fbb229bf.preview.developers.cloudflare.com
Preview Branch URL: https://jun-hyperdrive-pg-version-update.preview.developers.cloudflare.com

Files with changes (up to 15)

Original Link	Updated Link
https://developers.cloudflare.com/hyperdrive/examples/connect-to-postgres/	https://jun-hyperdrive-pg-version-update.preview.developers.cloudflare.com/hyperdrive/examples/connect-to-postgres/