will 393.77B-HT put my truck out of service
No. Across our inspection records, 393.77B-HT citations have never resulted in an out-of-service order—the OOS rate is 0.0% on all 17 all-time citations in our database. This violation is a compliance notice, not an immediate operational stop. You can continue driving while you arrange repairs, though the defect should be fixed before your next inspection cycle.