Another day, another of the little one's things repaired with a hot air tool and a bit of poking.
So many people assume broken plastic is unrepairable garbage because it's hard to glue.
But if it's a thermoplastic, as almost all mass market plastic goods are, all you need to do is gently heat up the pieces until they soften and push them back together to form a solid weld. Filler rod can help in some cases but isn't always necessary or useful depending on the nature of the repair, for flat surfaces I've had decent results just using a screwdriver to lightly press the heat affected zones into each other until they merge.