I would put it all in a pot or a slow cooker and recook it for several hours and use the SB. The water based method usually requires more cooking time for the paste itself to neutralize before dilution.
I really don't think you have much to lose at this point and it's worth a shot! Let me know how you make out with it!
Three days later and it has not separated at all!
Cooking actually worked!
Thank you!!!