Water leak in 68 Dart Coupe

Hi all... I have discovered that I have a water leak when driving in medium/heavy rain only that seems to be coming from the top/rear of the glove compartment and dripping onto the passenger side floor - am I right in thinking this is (hopefully) the windshield rubber? The windshield is still the original factory glass, but the rubber may have been swapped out at some stage... It doesn't leak at all if the vehicle is parked up/stationary, in the rain and/or if I wash the car; it has only happened in heavy rain whilst driving. I have already cleaned out the cowl vents and they seem to drain perfectly, so hopefully it isn't that... will have to also double check the wiper arm pivot bushings but wouldn't think my glove compartment cardboard piece would be wet if it was those? any feedback welcome, thanks
I thought my windshield was leaking on my ‘73 Swinger but it turned out to be the wiper pivots. I get a puddle in my drivers floor pan. Watching to see the response on ease of install as I have it down for one of my winter projects this year.