The register
The register lists Care Cymru Services Limited in Cardiff as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Rating on the current register: Worker (A rating).
Companies House lists it as Care Cymru Services Limited, number 04559246, incorporated 2002: 24 years of filings behind the name. The registered office is at 2nd Floor Procopy Business Centre, Parc Ty Glas, Llanishen, Cardiff, CF14 5DU, CF14 5DU. Its filed activity puts it in health care. It has traded under other names before, including Sevacare (cymru) Limited, Prompt Care Limited.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.