@SwordGuy already gave you great advice, so I won't rehash that. My advice is to just give 2 weeks notice, but as you said you know that's the advice you expected to get.
I will offer what happened to me when I
got outed gave notice a few months early. To make a long story short I was at a point financially where if they had walked me out the door I would have been happy to go. I didn't have any bonuses or stock options or anything else that could have been pulled. I also trusted my management, and I believe that both my boss and his boss consistently upheld the highest level of ethical behavior. They didn't just stay out of trouble, they saw themselves as good, moral people and consistently behaved in a manner that supported it. Finally, my company was desperate to hire people; there were tons of open job requisitions but nowhere near enough qualified people to do the work. In that situation, I felt comfortable giving notice in advance because even if they wanted to fire me they really couldn't, wouldn't, and it would have been fine if they did. Nevertheless, I did find that I was progressively left out of meetings and off of e-mail traffic on things that I really should have been included in. While I took plenty of time off, when I was in the office I tried to work hard until my last hour on the job. It was irritating to not have all of the information I needed to make decisions and to be left out of future planning because I think I could have helped. I was able to spend months trying to find someone to take my job, and I had plenty of time to bring them up to speed.
In your situation, I would ignore what's best for the project and what's best for the company and figure out your ideal departure date and situation. I'm not saying you should act on that, but you need to start by knowing exactly what you want. It sounds like you have already done this - you would prefer to get out of annual reviews, the educational offsite, and you'd prefer to quit next January 6. Anything else? I'd then figure out which, if any, of those things are negotiable for you or are minor issues and which are non-negotiable. Are the reviews just 5 hours of extra paperwork and not a big deal? Then maybe just suck it up and deal with it. Or will they be a major time sink that will be really draining for you? Can you make the offsite bearable or will it really be awful? Would 1 extra month give you personal or professional closure, or would the last month just be one month of suffering? Based on that, I'd have a conversation with my boss and ask what it would look like if you transitioned off the project in January. She opened the door to that discussion, so asking what the next steps would be seems reasonable. If she wants you to stay in the role for a while but would like you to start to transition things like reviews and attendance at the offsite to someone else - great! You win! They get to train someone up and you get out of what you don't want to do! There is some risk to this though. They may decide that if you don't want to do this long term there isn't a place for you in the company any more. You have a better idea of how likely that is than we do.
Whatever you do, if you're a few months from FIRE then remember that you hold all the cards. You don't need to do anything for them unless you're waiting on a bonus or something similar. You can choose to make the transition smooth, and you can choose to leave in a way that helps your soon to be former co-workers, but that's your call. Finally, it seems that you really only have about 8 or 9 weeks left. If you're in the U.S., we have Thanksgiving coming up and wherever you I think most places around the world have some kind of shut-down or slowdown around Christmas and January 1. If you can stall for a couple of weeks or have vague conversations about a potential transition, then pretty soon you'll be down to 6, 5, 4 real weeks of work. If you don't do anything this may be a problem that solves itself.
