Printer drivers are one of those things that don't have to be a perfect match, or "officially-supported" to function.
OSes don't typically receive major architectural renovations from versions to version, and printer hardware architectures even less so.
I don't keep current with the kind of changes MS makes in Windows, but I don't believe W11 has a revamped printing framework over W10, or even W7, which leaves the possibility that an older driver would function fine if installed in W11.
On the Mac side, I'm using a driver who support ended with a version of the OS five versions behind the current version, and it functions fine, even if unsupported. There has been one major change in the printing framework with Macs, moving to IPP protocol-based driverless printing (AirPrint) which began many years ago, but even though the old driver-based CUPS framework has been deprecated, for the time being remains in the system, allowing old drivers to be installed and function. My printer, a Brother, is 12-13 years old and works with the latest OS, using a driver from five-years ago when support ended.
Another old trick to is troll the manufacturer's sites from other countries, and see if they're still updating the driver. Support can vary from market to market, and they can be a source of functional drivers.
TLDR -- one doesn't necessarily have to buy a new printer for the latest OS; there are probably fine workarounds, albeit unsupported. Brother has been good, but is slowly sliding into the slimy captive-supply business that other brands, lead by HP, have engaged in. I'd have to be desperate to buy something from HP, or the pioneer in such shenanigans, Lexmark (trying to thrwart 3rd-party supplies using the DMCA). And as such…
BROTHER ! You can down load their Firmware Update Tool & update whenever you want.
… I'd be wary of installing any firmware updates, where never versions have been found to cripple user's hardware from accepting aftermarket supplies, or just plain bricking them (unintentionally) altogether. (Hello HP! -- a brand now far removed from the one founders started, and the principles they stood for).