You can try to read/write the eeprom without desoldering, but you need a programmer with a clip (https://www.youtube.com/watch?v=Jqzp0729u_I)
However, you did not write what caused the router to fail.
The flash chip can be replaced but the fact that it doesn't work can be caused by many things, not necessarily the flash itself. Reading it with a clip would indicate that it is functional and something else is damaged. It may also simply be a content error.
like a told you the eeprom is 100% dead I don't know why there are no dump or bootloaderss files to download, even though this is a site for changing and modifying devices firmware, which are operations in which the probability of device malfunctions is high.
flash dead, device specific wifi calibration irretrievably lost
the sensible way forward would be E-waste recycling or a Viking fire burial, if you prefer that.
Lost wifi calibration would be a killer even for expensive devices, but considering how low-end this particular device is, you are really wasting your time (which can be fun as well, but the wifi part of it will be dead for good).