2 "musts":
old lamp assembly:
carefully cut away the
en "small" bulb + ~3-5 mm of the black part but leave as much of the wires intact as possible.
Put a white 5 mm led into place and solder the wires on, glue the led in with epoxy and thus have the better 2ndary bulb than the incan
(the "small" incan bulb eats 0.8 Amperes! And is totally useless in that position inside the reflector. And is perfectly replaced by the 5 mm led ... try to get a "sunlight" tint)
new lamp assembly:
get a small resistor - like 1, 5, 10, ... ohms - cut the visible wire and solder the resistor in between.
That perfectly fights the cold-strike initial
that usually happens to the 2ndary bulb quite quickly
example:
PS: get the nylon screw or be very careful to always put in the shielding insert when using the metal screw