These translate-path builders had no runtime consumers: the translator route
uses executor.buildUrl/buildHeaders, and the barrel re-exports were unused.
Removing them eliminates the parallel URL/header build path (single source of
truth = executors). Drop their private helpers and the now-unused clineAuth
import. Golden executor snapshots + gate: no regression.
Co-authored-by: Cursor <cursoragent@cursor.com>