With all due respect; I'm not of the carnauba crowd. To each his own.
First a drop of recorder oil, then Renaissance Wax . if memory serves me correctly the melting point is HIGHER than Paragon/
Halcyon . Or an extra drop of the good old recorder oil and no wax at all . The carnauba wax in tiny jars from Walker Briar Works works fine too, nice silk gloss.
Their deoxidizer sucks .
Quite new and amazing : Mark Hoover's mysterious before & After restoration balm, does it all . Cleans the briar and gives it a perfect sophisticated lustre. Evens out and enlivens faded stain.
Horse hair and some elbow grease bring briar ( any wood ) to a wonderful, natural looking gloss.