How does the light-independent stage of photosynthesis get H+ ions?

From what I understand from my grade 11 biology:

During the light-dependent stage of photosynthesis, water molecules split, producing hydrogen and oxygen atoms. The oxygen atoms are basically “waste products”— used by mitochondria for respiration after being inhaled. These H⁺ ions are then taken by a hydrogen carrier (i.e. NADP⁺) to form NADPH (which is necessary for the light-independent stage). Where do these H⁺ ions suddenly just come from?

From what I’ve understood so far, the H⁺ ions are now “in” the NADPH.

I’m confused as to how in the light-independent stage, the carbon dioxide (CO₂ molecules) can combine with the H⁺ ions to form glucose. I thought that these H⁺ ions had already got “converted” to form NADPH? Or is it something like only some of the H⁺ ions are necessary for NADP⁺ to form NADPH?