You haven't got a neutral connection to your new switch!!
from looking at your photos..
original light was wired like this..
DRAWING1.JPG
look closely at the Red Yellow and Blue wires between the two way swicthes..
THEY ARE ALL LIVES...
the neutral connection is in the two black wires in the terminal block at the first switch!
You have added on something like this...
DRAWING2.JPG
which if the follow the path from live..
down the red wire to your new brown and then new swicth..
From switch through blue then brown to new light...
then from light via Blue to new box then to first switch then to red to original light..
then finally after passing through the original light as well finally get to a neutral!!!
Both lamps are in series...
AND.. Both are glowing dimmly...
I guess you haven't actually seen the new lamp working at full voltage yet..
They need to be in parallel!!
You need to get a neutral wire to your new lamp and disconnect from the blue live strapper between the two way switches.
Can I hazard a guess that no test equipment has been used during this work to verify any cables??