Of course this doesn’t provide you with an easy way of making the card act like an HID card if it isn’t really a T5577.
The best way to start would be to see if
lf t55xx wipe
works. If it does then you really have a T5577 and you can just do a
lf hid clone -w H10301 --fc XXX --cn YYYYY
Otherwise you are looking at
lf em 4x05 unlock
Followed by a series of
lf em 4x05 write <data> <block>
And I don’t know enough about the configuration of an em4105 to know exactly what you would want to write.
Given that both cards look like they use the same chipset, you should be able to dump the hid card AS AN EM4105, and then write that block by block using the above command.
lf em 4x05 dump
...Change cards and...
lf em 4x05 unlock
lf em 4x05 write <data> <block>