There is a lot to chose from. I would try the light first and see how you like the beam.

In short:

If you like it as is but just want to change the colortemp than go for a xml2 5D ( probably also works best in the reflector you have).

If you want more cri than go for a nichia 219c.

If you want more throw than go XPL hi.

All choices under one roof, you need a led on a 16mm board.

https://intl-outdoor.com/led-c-107.html