Can you spend mana of any color with Chromatic Orrery to pay colored costs in spells?

Chromatic Orrery has a static ability that reads: 'You may spend mana as though it were mana of any color.' This means that any mana in your mana pool, regardless of its actual color, can be used to satisfy colored mana requirements on any spell or activated ability you cast or activate.

Under CR 106.7, some effects allow you to spend mana 'as though it were mana of any color.' When this applies, you treat the mana you spend as whatever color you need at the moment of payment, effectively making all your mana wild for that purpose.

This is different from mana that simply adds colorless mana — Chromatic Orrery doesn't change what mana you produce, it changes how you're allowed to spend existing mana. So if you tap a Mountain for red mana, you can spend that red mana to pay a blue mana symbol {U} in a spell's cost while Chromatic Orrery is on the battlefield.

Example: You control Chromatic Orrery and have three Mountains. You want to cast Counterspell, which costs {U}{U}. You tap two Mountains for {R}{R}, and because of Chromatic Orrery, you spend each red mana as though it were blue, satisfying both {U} requirements and successfully casting Counterspell.

Note that this ability only applies to you — it doesn't help your opponents spend mana of any color. Also, Chromatic Orrery must be on the battlefield at the time you're paying the cost for the effect to apply (CR 613.1).