Reflecting Pool‘s ability can make mana of any type of any other land that you control. There are six types of mana; white, blue, black, red, green and colorless. Other restrictions or abilities associated with mana are not part of its type and will not be applied to mana generated by Reflecting Pool.
When determined what type of mana a land could produce, you do factor in replacement effects that change what types of mana a land could make. Similarly, you do consider type changes when calculating what mana a land could make. For example; a plains that has been turned into a swamp will generate black mana.
Finally, you do not consider costs when figuring out what type of mana a land could generate. If you control a Reflecting Pool and a Vivid land (like Vivid Creek) without any charge counters on it, the Reflecting Pool can still generate mana of any type. This is because you remove a charge counter as part of the cost of playing the Vivid land ability.