Hello. not sure if this will help for the issue on the closed neon sign.
you need to reload the file where you need to talk to moxy first before entering.
also try talking to moxy on 10:00 AM or 10:30 AM, not exceeding 12:00 NN (Cyberpunk time) she will have an additional dialogue. that they're close and you should proceed on finding evelyn or judy.
once that has been done the closed sign will disappear and you may enter lizzies,
hope this help