You just need the 12 word phrase seed to recover reset your metamask password but if you don't have the seed then don't logout, simply move the funds left to newly acreated account because it is impossible to reveal your seed without entering your existing passwords under security tab.
Even you transfer the funds on a new account you mean another eth address? I think metamask work overall within wallet address and has only single used password for one wallet address and those imported on that wallet. So if there are other wallet add that needed attention, it has same password for metamask to open unless you created it separately, with a new one with own private key and another device segregate to the one used.
