Is it permissible for a bride to tell her seamstress or hairdresser that she is not a bride to avoid a price hike, knowing that her husband has not yet consummated the marriage with her?

It is permissible to hire someone for tailoring a garment or styling hair for a known wage, and there is no difference between a bride and others. Increasing the wage for a bride without increasing the work constitutes exploiting people's needs and unlawfully consuming their wealth. Therefore, there is no harm in concealing the fact that you are a bride, and you may use circumlocution or say: "I am not a bride," because the term "bride" (عروس) is applied to both a man and a woman after consummation.