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Horizontal Infrared Radiation is equivalent to 'surface thermal radiation' value available for all NWP models. If you need to look this up quickly, feel free to check out (disclaimer - I run this tool), based on ERA5 data from ECMWF. This should fit well under the free tier and you can download up to 6 months of data without signing up.

The parameters are named 'surface_thermal_radiation' and 'total_cloud_cover' (for the opaque sky cover).