The question

I’m on an L-2S visa in Texas (spouse of L-1, work-authorized) and working in W-2 with an IT employer. I want to start a single-member LLC SaaS startup expecting ~$15K annual profit. Can I legally create an LLC & run the business while employed on L2S ? Are there any immigration or Texas-specific legal issues to be aware of? any impact during travel immigration or when going for Visa renewal ? Please advice, thanks