I think I misunderstood the original issue, I thought something had gone wrong with the lf em 410x clone command, but if you were basing that off untrustworthy t5 dumps to begin with, I say try that again and trust the em 410x reader command if it says it’s correct, don’t worry about the underlying T5 data
The rest of this is the deranged rantings of a lunatic trying to figure out T5577s, so don’t trust it very much 
This last set of data still doesn’t seem like a valid dump to me, the block 0 data is different than the one created via em 401x clone
I don’t think its damaging to the chip on it’s own, however:
The reason this didn’t work is that you set the password bit in block 0, and then didn’t auth with a password. The card may not be bricked, just locked
lf t5 detect -p B602E03E should work?
And if that works then lf t5 wipe -p B602E03E should reset it to default config?