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GH-43450: [CI] Temporarily turn off conda jobs that are failing  (#43451)

There's some work ongoing to update the conda jobs #42114, but many of them have been failing for many days (some have no history of success in our [crossbow report](http://crossbow.voltrondata.com)).

Let's turn those off temporarily so that we stop ignoring other failures alongside it, and we can re-enable them once we get them back running. Alternatively, we could merge those fixes and close this PR.
* GitHub Issue: #43450

Authored-by: Jonathan Keane <jkeane@gmail.com>
Signed-off-by: Raúl Cumplido <raulcumplido@gmail.com>