I am sorry for that to happen.
From my experience, absence of bottom logo at boot is mostly not because of faulty crystal resonator, because they are rarely damages. And because your cartridge become bricked exactly after updating firmware, its most likely not damage in crystal resonator.
Most likely is that firmware on small 8pin SPI NOR chip is corrupted, its not so bad, because you can simply desolder it and rewrite firmware on it with programmer like CH341A(but use with 3.3V!, black are 5V, so be careful, they need to be modded to 3.3V). Awesome people sent backups of that firmware from chip on the internet, its not hard to find. You can even try not to desolder it(but its not recommended).
Also find dump of such firmware from SPI NOR chip, because ezkernelnew.bin from official website has additional data that will not fit into that chip(it has not enough memory and it doesn't need that data). It has needed data for such chip, but there is no reason for cutting it from bunch of binary data when you can download complete dump that ready to upload.
So my recommendation is always to try first to rewrite firmware on the SPI NOR chip, because its easier then find where to buy that rare crystal resonator with specific frequency.
And thats obvious, because what is stored on that SPI NOR chip is FPGA bitstream, which tolds what CPU architecture should be on FPGA chip and how to behave, without proper bitstream cartridge don't know what to do at all, and thats why you have not handshake.
P.S. funny story is that when I had such issue I tried everything and did reball of that 3 BGA chips on board and resoldered all SMD components on board
But most likely I needed only to reprogram that SPI NOR chip
