Actually it lasts until late January. We just don’t get enough sun in west Michigan. You can cut some young stalks and put them in a wide mouth ping canning jar. Or if you have one of those totally round small fishbowl size jars even better. Just change the water every couple of days. You’ll get nice white roots soon and it will be perfectly happy. We don’t have city water though if that makes a difference. I chop my extra fresh basil, put in a quart Ziploc freezer bag, add olive oil, enough to coat it all. Squish it around a bit, flatten seal and freeze. When you want some fresh basil just break off some.
Sorry ping = pint. At my age I don’t want a lot of indoor plants to take care of.
Thanks!