The Fundamental Flaw of the Infinity Bow
I'll keep this as short as I can: The Infinity enchantment is flawed.
When repairing a tool/weapon/piece of armor, repairing the item with itself costs an exponential increase of about 50-60% per repair, but after a certain point becomes too expensive to repair.
That's the point of mending, to ensure that repairing your tools doesn't become too expensive, but here's the problem: Infinity and Mending can't be put onto the same bow.
By having nothing but Infinity on your bow, the experience required to repair it goes through this pattern: 2 - 4 - 8 - 16 - 32 - Too Expensive. This means that you can only repair your Infinity bow 5 times before needing a brand new infinity bow.
But what about other enchantments? A fully enchanted bow, one that contains Infinity, Unbreaking III, Power V, and Flame costs:
17 - 33 - Too Expensive
This means that you can only repair a fully enchanted Infinity Bow 2 times!
The viable solution to this problem would just be to allow both the Infinity and Mending enchantments to be put on the same bow. The counter argument for this tends to be "But if you had Mending and Infinity on the same bow that would allow you to repair it infinitely with XP." What about Mending on an item such as a Sword, Axe, or Trident? Those can be infinitely repaired with experience, that's the whole point of the Mending enchantment.
In short, something is going to have to change about the Infinity Bows. Having them become too expensive to repair renders the enchantment pointless.
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