This summary is not the rule. The rule text controls.
If you're an "amicus curiae" (a friend of the court who isn't a direct party in the case but wants to weigh in), you can't just show up and speak during oral arguments. Your lawyer needs two things to happen first. One, a lawyer for one of the actual parties in the case has to agree to give up some of their own speaking time to let you participate. Two, the Louisiana Supreme Court has to formally approve your request.
There's also a deadline to keep in mind. If your lawyer wants to take part in oral arguments, they must file a motion asking for permission at least 10 calendar days before the scheduled argument date. Waiting until the last minute won't work here.
In short, this rule makes sure that outside voices can only join oral arguments with the court's permission and with a party willing to share their time. It keeps the process organized and prevents arguments from running long or getting crowded with too many speakers.