Tubeless sealant question

So I just flew and someone recommended I deflate my tires on the plane, and I did that and removed my tubeless sealant first. I now can’t find the stans tubeless sealant in Europe and the only one the bike shop has said do not mix with natural latex sealant. (Stans is natural latex)

The problem is my tires have little bits of the sealant rubber stuck to the inside, and I cannot possibly remove it all, but it’s all solid stuff. Is it a bad idea to add magic milk? I need to race this weekend and can’t get my hands on stans in time. Will the solid rubber ruin everything?