How about a modified eye splice with a short and tapered tuck to get that part through the deadeye and bending ninty degrees and the actual eye close to non-existant, leaving just a little nob visible.
If all the holes in the deadeye wood are relieved and grooved on both sides except this starter hole, relieved and grooved on only one side, then the hardness of the line should keep it from slipping through. If you have any doubt you could put something in the eye for extra security. Maybe even form the eye around a little grommet or circular thimble or something so's you have a place to attach a flag hallyard?
G'luck
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