“Bagla” indicates “bridle” or “rein,” even though “Mukhi” indicates “faced” or “going through.” The identify Baglamukhi symbolizes her power to restrain or Handle unfavorable forces and enemies. An additional etymology suggests that valga implies "to paralyze" and symbolizes the strength of stambhana, "paralysis" which the goddess is said to grant; https://www.youtube.com/shorts/5VeSyP9JRw0