Lay the tip flat on the glass and push the tip of it under the molding rock it back and forth if necessary to get the tip to penetrate under it.
How to fix a oval glass plastic door molding.
How to replace the oval glass in an entry door.
Should you need to stain the repair or the entire fiberglass door consider minwax gel stain.
Insert the tip of a putty knife under the molding.
Use a nailset and a hammer.
Once dry it may also be painted.
If you choose repair over replace try fixing the damage with j b weld waterweld epoxy putty.
It is rated for application onto fiberglass and other plastic surfaces.
Tap down any loose or exposed brads holding the wood molding to the door around the glass.
Do all four sides.
Insert the tip of a putty knife between the molding and the frame of the door.