Tangzhong without eggs?

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I just learned about Tangzhong bread. All the recipes I've seen have eggs in them, and I don't/won't eat eggs, although I do eat dairy. Does Tangzhong require egg? Will it turn out okay without? Any reasonable substitutes y'all can recommend? Thanks!

 

Nope, egg isn't required.  No egg here, for example.  I don't think there is any egg here either.  It is just common to add egg to soft, sweet breads, which are often where folks like to use tangzhong too.