Wa`alykum as-Salamu wa Rahmatullahi wa Barakaatuh.
I do not understand the intent of your question. I do not see any connection between going with faces uncovered and washing face and brushing the teeth and using hygienic products.
According to rules of jurisprudence, permission is the rule; the prohibition is an exception. In other words, we cannot declare something as forbidden without evidence.
Allah Almighty knows best.
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