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If your server is accessible via http://teamcity:8111/ URL, use:
http://teamcity:8111/httpAuth/api/version - to get plugin version
http://teamcity:8111/httpAuth/api/projects - to get projects list, then follow href's
http://unit-212.labs.intellij.net:8111/httpAuth/api/buildTypes/id:bt284/builds?start=10&finish=30 - (example ids are used) to get builds
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