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Hello, this is Dr. Jess. I am sorry to hear about your problem! It is unlikely that this tiny amount of soap will cause your dog any problems. These types of soap can be irritating to the mouth/espohagus and stomach though, and occasionally so GI upset will occur, but in the tiny amount you are describing I think it unlikely. To be safe, you can try to rinse his mouth with some water to remove any soap reside. If tomorrow he is showing signs of discomfort of the mouth (decreased appetite, excessive drooling), or vomiting, then you should call your vet for an exam and to get a prescription of medication to help soothe his stomach.
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