Nothing appears to be saturated in the task manager (CPU <10%, Memory < 50%, Disk ~0%, Network ~0%, GPU ~0%). I too initially wondered if it was an issue with my system (desktop), hence I tried running Mafia on my laptop (which worked fine before I encountered this issue), but the same lag/freezing also surfaced there.
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The UI is responsive. While logged in, it is possible to type in the gCLI, which allows for the queuing of additional scripts (although none of the scripts actually run). It is also possible to open the relay browser to carry out actions (which are reflected and recorded on the gCLI) while the scripts freeze.
Hm. If it occurs across systems, I'm leaning more toward to a network issue, although it's strange that Mafia hangs waiting for requests -- I'd expect them to time out after ~30s (and throw an IOException). Any weird firewall in play? Does this persist if you take your laptop to e.g. starbucks public wifi?
UI responsiveness rules out (I think) memory pressure for the JVM, although as frono suggests, a threading issue is still possible.