As I understand it
- Wikibase = awesome technology
- Wikidata = site running that technology to provide millions of facts about items on Wikimedia projects
- Wikibase Client = lighterweight code for other wikis in the cluster that want to use facts from wikidata.
None of this is apparent wondering around
Meanwhile this page has
{{TNT|Update}}
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but this extension is not obsolete, it's in use on tons of Wikimedia wikis (but not mediawiki.org).
I think
- if you want to develop, check out Extension:Wikibase and follow instructions
- if you want to see how WMF configures the site https://wikidata.wikimedia.org , check out Extension:Wikidata build and wander around in the operations/mediawiki-config repo, primariy in wmf-config/Wikibase.php
I still can't figure out what Wikibase Client is.