The following is semi-random related information.
Update macOS to 26.5.2 (current), and try again.
This multi-function printer appears to lack AirPrint, and the scanner appears to lack ICA.
IPP/IPPS internet printing is supported, which means the printer is likely available from most modern platforms, including macOS.
Brother has drivers for much older macOS versions including a scanner ICA driver, though whether those will work this far along with macOS 26.5.2?
As an alternative, you can set up an FTP server on macOS or elsewhere, and use the scan-to-FTP function available with that printer. Also scans to CIFS, and presumably also scans to SMBv1.
Caveat: FTP is wildly insecure. CIFS / SMBv1 is wildly insecure.
You'll have to install and manage the ftp (ftpd) server or the CIFS / SMBv1 server on your Mac or other gear yourself, if you choose this path.
The user guide indicates some USB scanning capabilities, though whether that might work here?
A Linux system might be able to access the scanner, as well. Probably also scan to an iPhone or iPad using the Brother iPrint & Scan app, and then AirDrop from there.
Some Brother multi-function printers have a USB-A socket and can print or scan with that, using FAT-format removable storage devices. This DCP-8080DN seems to be able to print from removable storage, but I don't see any indication it can scan to the same storage. Might want to check the menus.
How much of your time and effort and focus (and security) is maintaining this printer worth, versus a replacement with AirPrint, IPP/IPPS, TWAIN, ICA, and current vendor and macOS support? Same question, but for VueScan?