The key issue that is examined in the present article is whether a bioink for skin can be found using an ordered temporal logic of immune-material behavior. Specifically, TEG-IBP is described as a design approach whereby alginate/gelatin/polydopamine hydrogels are used to set the macrophage status that produces the exosomes, collagen/decellularized ECM (d-ECM) is used to provide the mechanics required for printability, and wound repair metrics assess whether the combination leads to successful integration of immune and other wound-repair processes. Bioink AGP-3, loaded with 0.075 wt\% polydopamine nanospheres, showed the highest selectivity index for M2 polarization, \(\Psi_{\mathrm{M2}}=1.63\), and thus, was chosen for M2 exosome production. Adding d-ECM to collagen increased the storage modulus to 158854 Pa and low-shear viscosity to 598 mPa\,s, thereby resulting in a delivery advantage index of 18.5. Multilayer deposition of the epidermal, dermal, vascular, and neural support compartments could be performed at printing speed of \(5.5~\mathrm{mm\,s^{-1}}\) while maintaining filament fidelity in the supporting bath. At 14 days, COL@d-ECM/M2-exosome led to an increase of epidermis thickness from \(28.43 \pm 3.69~\mu\mathrm{m}\) in unexposed wounds to \(48.58 \pm 8.49~\mu\mathrm{m}\). In addition, decreased inflammation, enhanced immunoregulation associated with increased CD163 and CD206 content, improved angiogenesis with increased VEGF and CD31 content, and follicle formation were also observed. Thus, a TEG-IBP strategy can indeed result in a material that is better integrated with the host’s healing than COL@d-ECM delivery alone. Therefore, the paper presents a JNTM contribution in the form of materials design logic that integrates nano-signaling, immunomodulation with polymers, matrix mechanics, and printing.