Foundry Inspector vs Arcum's Astrolabe

[Fox]

Foundry Inspector on board, is Arcum's Astrolabe free?
An example of a colorless snow mana: Frostwalk Bastion

[FourDogsinaHorseSuit]

Foundry Inspector on board, is Arcum's Astrolabe free?
An example of a colorless snow mana: Frostwalk Bastion

No.
107.4h The snow mana symbol {S} represents one mana in a cost. This mana can be paid with one mana of any type produced by a snow permanent (see rule 205.4g). Effects that reduce the amount of generic mana you pay don’t affect {S} costs. Snow is neither a color nor a type of mana.

[Fox]

Okay so even if you turned Foundry Inspector into a snow permanent, there is no way around paying an actual (snow) mana with a discount effect (which doesn’t specify snow discount)?

[kombatkiwi]

Okay so even if you turned Foundry Inspector into a snow permanent, there is no way around paying an actual (snow) mana with a discount effect (which doesn’t specify snow discount)?

Correct
Foundry Inspector doesn't "Produce Mana" so it doesn't interact with the snow symbols at all, even if Foundry Inspector somehow becomes Snow