The register
The register lists Dukes Head in Sunninghill, Berkshire as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Its rating on the register is Worker (A rating).
The Dukes Head Ltd is the registered name (Companies House number 05764585), a private limited company on the register since 2006. Registered office: 42 The Vineyard, Richmond Upon Thames, Surrey, TW10 6AN, TW10 6AN. By its SIC codes the business is in hospitality.
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.