Adjust development documentation with context

[elupus]

Proposed change

Adjust documentation to show use of data update coordinator context to limit the data an update coordinator grabs from the API.

Type of change

• [ ] Document existing features within Home Assistant
• [x] Document new or changing features which there is an existing pull request elsewhere
• [ ] Spelling or grammatical corrections, or rewording for improved clarity
• [ ] Changes to the backend of this documentation
• [ ] Removed stale or deprecated documentation

Additional information

• Link to relevant existing code or pull request: https://github.com/home-assistant/core/pull/72702