Hi Roy, happy new year
I don't know for sure, but in my opinion you can try to add to the putty Acetone or isopropyl alcohol 90° . Otherwise you can add Tamiya LACQUER thinner (NB NOT ACRYLIC thinner, LACQUER thinner) or Gunze mr color thinner. This one:

All those products can solve the putty so this way you can dilute it.Usually I use tamiya lacquer thinner and I've ever had any problem.
But to be honest i don't know if adding the thinner in the bottle can change the putty behaviour. I think you'll have a more diluted putty, but it doesn't mean necessarily that the putty won't work anymore
cheers