Thanks for making my point. Your first definition: It has been established that parts of the insurrection was militia groups who planned their attack in advance. Their intent was to stop the government from doing their sworn duty. They named government officials by name and vocalized personal threats toward them. It has been established that weapons were used and bombs were confiscated. Weapons that are considered deadly makes it an ARMED insurrection. Violence? Just watch the film.
Your second definition. Violent action that is taken by a large group of people against the rulers of their country. Watch the film. Violence and a large group attacking the rulers of their country. Police officers, agents of the government. Government officials forced to leave their legal place of work to be locked down and guarded for their own protection. Usually in order to remove them from office. Usually speaks for itself. It may be the most common occurrence but not the only occurrence. It was an insurrection not an attempted coup.
Your third definition. Same as the above. Wrest control from authority. Storming the Capitol and stopping the government procedures that were in progress. Causing the removal of government officials from their workplace. A successful insurrection. I don't believe a coup was the idea. Most definitely a violent opposition to authority.
Your fourth definition. Simple and straight to the point. Armed? yes
ARMED "equipped with or carrying a weapon or weapons"
or open rebellion against an established government or authority? yes If the Capitol isn't part of an established government or authority, we have no government.
Thanks again.