Use head gun to melt solder bulb and shrink tubing over connection. Orient butt connector and heat gun such that reed switch is not exposed to heat. You will see the middle section start to flow as it heats up.

It may be helpful to temporarily clamp reed switch plate to gate crossmember to make it easier to insert wire into crimp connector. If switch side wiring has insufficient length to perform rework operation, open black hinged wire route cover and pull more length through.