Screen Glass coming away after a repair. What is the best next step?

I had my phone screen replaced at a local repair store around 4 months ago. The device has held fine in the time between then and now. In the last week or so, the glass appears to have started to lift away on one side, causing some minor ghost touches on the separated side when pushed back into place.

Currently, the local repair shop will only do another full screen replacement, and want me to pay for the replacement part again. However, the glass itself is still fully functional, and I can't see much reason in replacing it entirely. Early research on the issue tells me that the adhesive used for the glass panel is pretty readily available, but that the correct application methods generally require removing the entire glass panel first, and then re-adhering the entire panel again afterwards. Is this the best approach for what I'm after? Are there any other resources I should be looking into first?