That's a temporary fix because it's going to drop your fuel economy, increase wear and noise.
The front differential has known leakage problems, and not a huge grease reservoir. If you aren't paying attention to the lube level, and it gets low, having the axle permanently jammed into 4WD engagement will cause damage in short order.
The better fix is to either use a fully-functional thermal actuator (they can go bad slowly, where they take longer and longer to engage. A new one is faster) or to convert to the new motorized (not thermal) actuator.
The new-style actuator requires an updated wire harness. Used to be available from GM; now you gotta get it from Dorman. The wire harness allows you to install a GM/Dorman/Other brand of replacement motorized actuator. Those guys engage almost instantly.
The new-style actuator in a housing intended for a thermal actuator needs a spacer similar to your socket. It's included in the wire harness update kit. The new style actuator in a new-style housing doesn't need the spacer.
In general, I avoid Dorman products when I have a choice--they're almost all Chinese. But the harness may be made in USA; and at any rate, I don't know of any other source besides Dorman and the folks reboxing the Dorman item. Other actuators are available, though. Choose wisely.
Dorman 600-600 harness:
www.amazon.com/dp/B001C6Q7Q2/?coliid=I3PBSUZLPVAG5&colid=2VLYZKC3HBBDO&psc=1&ref_=lv_ov_lig_dp_it
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Dorman motorized actuator
www.amazon.com/dp/B000IZ490Y/?coliid=I2IO8OFN43UH7X&colid=2VLYZKC3HBBDO&psc=1&ref_=lv_ov_lig_dp_it
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