well I'm not really familiar with new FPSes as I don't have a computer which is powerful enough to run any new FPSes, however after some time of google search with the list
here it seems I can't find active bot projects for new FPSes (either the game has integrated bots in itself, or no mod SDK is provided which makes development of bots impossible).
it's really a pity that we failed to attract new members/projects to join when old projects are dying
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EDIT: I'm not sure how this bot is going:
http://www.moddb.com/mods/pezbot , someone who has the game should check it out and see if it should be invited