The 555 trigger and threshold pins level are referenced to a resistor divider across its power, so at higher voltage the trigger level will spread out.
Add an eg. 1K resistor from pin 5 to V+ & see what that does?
Pin 5 is a tap on that resistor divider & pulling that higher will increase the trigger and threshold levels.
(You could try an eg. 10K pot instead, find what range allows it to work at 12V and then use a fixed value around the centre of the pot working range).