feat: new sdk reference page with snippets

[wassimoo]

Summary

Adds a new SDK reference page to the API docs, initially for Python, Go, and TypeScript.

Each operation now shows real, copy-pasteable SDK snippets (generated from the Ory SDKs) alongside cURL, instead of only auto-generated HTTP examples.

How it works

• Spec is the source of truth: The SDK snippets live inside the OpenAPI spec (src/static/api.json) as x-codeSamples entries on each operation.
• Injection script: scripts/inject-sdk-code-samples.mjs reads the generated Ory SDKs from the sibling ory/sdk repo and injects the Python, Go, and TypeScript samples into api.json:

Open questions

Right now the SDK samples are injected manually. We should automate this eg. the same way we currently update:

• A CI job in the SDK source repo runs the injection + regeneration whenever the SDKs/spec change.
• The bot opens a chore(docs): update of SDK reference PR against this repo with the regenerated api.json and reference docs.

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch feat/sdk-code-samples

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