Comment to Comment to Black Hole in Dehnen $(1,4,\frac{1}{2})$ Dark Matter Halo: Exact Solution, Lensing, Light Ring, and Thermodynamics

The claim in \cite{Al-Badawi:2025ipr} that “the errors in the foundational components (3) and (5) of Ref. [1] invalidate all subsequent analyses, numerical results, and physical interpretations that depend on them” is entirely unfounded. This statement reflects a fundamental misunderstanding of the typographical nature of the error and appears to be a misplaced critique originating from a competing author, rather than a substantive assessment of the results, which remain fully valid.