The register
The register lists K&m Constructive Limited in Brimingham 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 K & M Constructive Limited, number 12248824, incorporated 2019: 7 years of filings behind the name. The registered office is at Unit 12 Cobham Business Centre, Cobham Road, Birmingham, B9 4UP, B9 4UP. Its filed activity puts it in energy, water and waste. It has traded under other names before, including K & M Recycling 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.