docs: remove the original doc-ci.yml action as it's output is now unused #5250
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Rename the newer docs-ci-v2 as just docs-ci.yml. The website now only uses output from the newer action. I made no changes other delete and rename.
Note: I've left that rsynced path as deephaven-core-v2/ on the server, as that's where all the symlinks point and I am being lazy and don't want to have to co-ordinate swapping that live.