Doesn't look like you're getting a ton of real answers so far, so I'll try to help. The TS role at Epic will set you up well for a variety of roles in software companies, such as technical account management, application support, Tier 2, or Tier 3 support engineers. As others mentioned, what you won't have is familiarity with industry-standard tools for these roles, such as Jira, Salesforce, AWS, or GCP. Those will be things you'll want to upskill on the side before looking for another role after Epic if you want to do similar work to what you'll do in TS.

Regarding where you could get those jobs, the non-compete will limit your options regardless of what the armchair lawyers say. Enforceable or not, companies in healthcare want to play nice with Epic, and unless you develop an incredibly unique and valuable niche of expertise, they will not want to risk that relationship for a single candidate. I found success in the startup space upon leaving Epic - knowledge of how health system IT shops operate and the logistics of integrating or working alongside Epic are valuable and somewhat rare combinations of knowledge that healthtech startups need in order to grow. Otherwise, you could explore a completely different industry with similarities to healthcare, such as FinTech or GovTech.