Seems like you are mentally checked out from the company and moved on, which is even more reasons to have that discussion with your current boss. Explain that you just want to move on, asap, and ask how this can be facilitated. Usually, that means compiling a list of things that need to be delivered, and after that, the company can just let you go. In the end, the notice period is (almost) always negotiable when both parties agree.
And they will likely agree as you will not be performing at your best now, and keeping you on for longer than absolutely needed is not good for anyone, including the morale of other employees. So talk to your boss and agree together on a leaving plan, rather than arguing over Friday/monday as the last day.