the TS values obtained with each of the one-component models to the two-component models testing the improvement of the fit when adding the radio template of the PWN. The difference TS$_{\rm{PWN}}$ can be converted to a significance since in the null hypothesis (no PWN emission) it behaves as a $\chi^{2}$-law with two degrees of freedom.

For all our extended models, the significance of adding the PWN lies between 3 and 4$\sigma$ and the maximum TS values are obtained for the model including the radio PWN with either the disk or the SNR mask. In terms of significance, our best model involves the radio PWN and the SNR mask since it requires fewer free parameters during the fit than the disk whose spatial components have been optimized. The lower TS value using the two radio templates (for the SNR and the PWN) indicates that the $\gamma$-ray emission does not entirely follow the synchrotron distribution and the fit prefers a more homogeneous structure for the shell, keeping in mind that this conclusion depends on the model we choose for the PWN.

Spectral analysis\[sec:spectral\_analysis\]
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To understand the underlying emission processes, we perform a spectral analysis from 300 MeV to 300 GeV using 