Hi,
Unfortunately, the HL-1430 appears to be a GDI (host-based) printer, which makes it difficult to use other drivers than those supplied by the printer manufacturer. Apparently, the printer cannot handle PostScript nor PCL, thus probably preventing the use of generic drivers.
According to the HL-1430 support page, the latest Mac drivers are for OS X 10.10 Yosemite. Interesting is that the driver used for an HL-2130 with OS X 10.10 seems to be similar, but in this case there is a higher version macOS Catalina 10.15 driver as well (which would be 64-bit). So, if the old HL-1430 OS X 10.10 driver cannot be used with your new Mac, you could perhaps carry out a test with (for example) an HL-2130 macOS Catalina 10.15 driver. This may result in nothing, but you never know. A pure experiment.
https://support.brother.com/g/b/producttop.aspx?c=as_ot&lang=en&prod=hl1430_as
https://support.brother.com/g/b/producttop.aspx?c=us_ot&lang=en&prod=hl2130_all
Also, if necessary, try resetting the printing system and re-adding the printer.
Reset the Mac printing system to solve a problem - Apple Support
Add a printer on Mac - Apple Support