If you assign a frictionless contact between the rod and the glass, then that would be like allowing the rod to rotate on a low friction bearing in the physical world, though there is no need for the rod in the model to rotate, you just assign frictionless contact.
The model I provided above does not converge to the end, I was concentrating on trying to get the distance calculated in DM out to Mechanical. You might need more steps to get convergence.
Driving the pane down with a displacement is preferred for convergence, but if you input a distance larger than the distance at which the glass makes contact with the mould, the solver will fail to converge past that point. Therefore, the last converged increment is just before contact is made. If you make the maximum number of substeps a large number, you can force small displacement increments into solution, so the final converged increment is very close to a clamped position. Since you will be plotting the reaction force on the rod displacement load, you will know the force to push the glass onto the mould.
The problem with a model that fails to converge to the End Time, is that the results are not transferred to the Parameter Set table of Design Points. If you check the Retain box in the third last column of the Parameter Set, you can manually open each solution and extract the force from the last converged time increment.
To avoid that, there is a sequence of steps that could work. Use a Force load on the rod to push the pane and clamp it to the mould. At the end of that time step, activate a displacement BC on the rod that was inactive during the first time step. There is a command snippet to hold a node at its current value. Then in the next time step, you could move the rod up 1 mm and that way relieve the clamping force of the glass to the mould, and be left with a reaction force on that displacement constraint that is just to hold the glass down 1 mm off the mould. You can even track how the force changes over that 1 mm and you might see a change in slope where the contact is relieved. Maybe a much smaller displacement would be better.