I'm assuming you're knowingly joking, so for others: 'dinde' is the contraction of French d'Inde, shortened from coq d'Inde or poule d'Inde. So you go to the store and buy some dinde for your sandwich. Fabrique en dinde would mean something is made of turkey (the bird).
Türkiye was, and I presume still in, Turquie in French. So made in Türkiye is Fabriqie en Turquie.
Uh? No, I think the point is that labels "Made in Turkey" ran the risk of being lazily translated to "Fabriqué en Dinde" in French by a misconfigured automatic translation software and you no longer have this problem if you use words spelt differently for the bird and the country. Nothing to do with "d'Inde".
Türkiye was, and I presume still in, Turquie in French. So made in Türkiye is Fabriqie en Turquie.