The problem is, you're starting with the assumption that deflation is not built into the price and then showing that it cannot be built into the price. Of course if it is not built into the price, it cannot be built into the price. You do this by saying "The value is X today, but it also has additional value because it will deflate. Let us calculate that additional value." The X already includes the deflation value, just as the future X's also include the predicted future deflation value past that point. There is nothing else to add.
If you want to say "The value is X today, but it has additional value because it will deflate", your X must be the current value less the deflation value. And the future values you calculate the present value of must also be exclusive of the deflation value. If the deflation value is actually infinite, then the present value less the deflation value is infinitesimal, and the future values less their deflation values that you are adding to the present value are also infinitesimal, so you have a sum of an infinite number of infinitesimals which can be, and in this case must be, finite. This is especially so because a time frame of over, say, 1,000 years is self-evidently absurd. Nobody can be confident something will deflate for that long. Heck, we may not have physical bodies in 1,000 years.