unsuccessfully install of printer brother hl-l2360dw

I've been trying to install a Brother HL-L2360DW.  I managed to install
it at /etc/printcap and use it just fine with lpd.  I installed as:

lp:Brother HL-L2360DW:\
      :lp=9100@BRWB052162167A6:\
      :if=/usr/local/libexec/lf2crlf:\
      :sh:sd=/var/spool/output/brother:\
      :lf=/var/log/lpd-errs:

The name BRWB052162167A6 is the hostname of the printer:

# ping BRWB052162167A6
PING BRWB052162167A6 (192.168.15.16): 56 data bytes
64 bytes from 192.168.15.16: icmp_seq=0 ttl=255 time=3.197 ms
64 bytes from 192.168.15.16: icmp_seq=1 ttl=255 time=2.978 ms
^C
--- BRWB052162167A6 ping statistics ---
2 packets transmitted, 2 packets received, 0.0% packet loss
round-trip min/avg/max/stddev = 2.978/3.087/3.197/0.110 ms

This way I can print ASCII documents.  Even UTF-8 text documents won't
print out correctly.  Apparently the printer is not a PostScript
printer, so we can't send PostScript to it.  When I tried, I got
PostScript code out on paper.  So I figured /etc/printcap wouldn't
suffice.  I then tried CUPS.

The experience with CUPS was nice, but again I had to set the printer's
driver to a raw thing and then I was able to get ASCII plain text out.
So I convinced myself that I needed a driver really.  Looking at the
spec of the printer (URL and PDF below), I see it has PCL emulation.  So
I tried CUPS' generic PCL driver.  Testing, I got a print out saying

--8<-------------------------------------------------------->8---
%!
  userdict dup(\004)cvn{}put (\004\004)cvn{}put

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% If you can read this, you are using the wrong driver for your printer. %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
--8<-------------------------------------------------------->8---

So then I convinced myself that I really need some kind of Brother
driver.  Then I found drivers at

  https://support.brother.com/g/b/downloadlist.aspx?c=us_ot&lang=en&prod=hll2360dw_us&os=128

But these are not for FreeBSD, so the hopes were not high.  Looking at
the debian packages, I see some Perl scripts and a file with extension
PPD.  I tried both

  CUPSwrapper printer driver (deb package)
  Generic CUPSwrapper printer driver (deb package)

Adding the PPD file which I found in data.tar.gz inside the debian
package, I end up getting the error of a missing file in

  /usr/local/libexec/cups/filter

The missing file appears to be a Perl script, which I also found in the
debian package, so I added the file to this directory, with permissions
0755 (as all others in the directory).  I changed the Perl path in the
script from /usr/bin/perl to /usr/local/bin/perl to match the Perl I
have installed.  Once again, I get

--8<-------------------------------------------------------->8---
%!
  userdict dup(\004)cvn{}put (\004\004)cvn{}put

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% If you can read this, you are using the wrong driver for your printer. %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
--8<-------------------------------------------------------->8---

when I ask for a printer self test from the CUPS web interface.

Is there any hope of using a Brother HL-L2360DW with FreeBSD?  My father
has a laptop running Windows 10 or 11.  Perhaps I could somehow connect
the printer to his computer and then use CUPS to connect my FreeBSD to
his new shared printer?  Any ideas?  Thanks very much.

(*) Specs

The specifications for the printer can be found at

  https://www.brother-usa.com/products/hll2360dw#specification

There's a PDF at

  https://www.brother-usa.com/-/media/brother/product-catalog-media/documents/2020/04/28/14/44/hll2360dw_brochure_compact-laser-printer.pdf