Tamiyo, Compleated Sage

Phyrexian is not a color nor a type of mana, and players cannot add Phyrexian mana. It’s just a symbol that gives you another way to pay for a spell or ability.

A hybrid Phyrexian mana symbol is counted the same way as a normal mana symbol when determining the mana value of a card. Specifically, Tamiyo’s mana value is always 5, even if you pay {2}{G}{U} and 2 life to cast her.

The compleated ability looks only at whether a player chose to pay 2 life for a Phyrexian mana symbol as they were casting the spell. If a player paid life for some other reason while casting the spell, that will not reduce the number of loyalty counters the planeswalker enters the battlefield with.