A glass dairy mug was washed in a meat dishwasher with dishes that were used to eat meat.
what is the status of the glass mug now?
Although this should not be done on a lechatchilah level, after the event you can continue to use the mug.
This is because the water in the machine is mixed with soap, making the taste of the meat “pagum,” and in addition to this we can include the opinions that glass does not absorb taste.
The concern that actual meat residue touched the glass when hot is slight, so that we don’t have to be concerned for this,