Welcome,
Sorry, this is unlikely to work although I wish I could give you more encouraging news. Here is a bit more about it from the FAQ: https://www.politepix.com/openears/support/#Q_I8217m_trying_to_use_a_sound_framework_like_Finch_or_another_OpenAL_wrapper_and_things_aren8217t_working_as_expected
Basically, all of these frameworks are making a bid for the session and they all probably require it to a similar extent because low-latency audio i/o is resource-demanding. But, you might be able to find out a bit more about the precise point at which it is breaking if you enable logging: https://www.politepix.com/forums/topic/install-issues-and-their-solutions/ and you can also try searching these forums for some info about PocketsphinxController’s audioSessionMixing property, which is designed to allow session mixing (although this scenario with two other frameworks may still be a bit too much).