Weird 3 Way Chandelier Stopped Working
Looks like 3-way being excluded and controlled only by the timer. If you want to make it work again, check connections to the timer and, if needed add a relay (1pole 3 contacts) to behave as second '3 way' switch andremove the 'bridge'.

PS: It is normal that the two 'deviated' poles on a 3 way are always disconnected from each other as the commute is between common and one of the 2 poles.

So these are schemas on how 3-way work (1), how 3-way with timer should be wired (2) and how your system is (probably) wired (3):,