Activate Urza by paying ({4} magic symbol) , creating a token copy of Training Grounds that is a 1/1 Soldier in addition to its other types.
Activate Grand Architect's second ability by tapping the Training Grounds token, adding ({C} magic symbol) ({C} magic symbol) that can only be spent to cast artifact spells or to activate abilities of artifacts.
Activate Urza by paying at most ({2} magic symbol) , creating a token copy of Training Grounds that is a 1/1 Soldier in addition to its other types.
Activate Grand Architect's second ability by tapping the Training Grounds token, adding ({C} magic symbol) ({C} magic symbol) that can only be spent to cast artifact spells or to activate abilities of artifacts.
Repeat from step 3.
Once you have infinite colorless mana, you may target any other nonland permanent using Urza's ability.
Results
Infinite colorless mana that can only be spent to activate abilities of artifacts.
Infinite colorless mana that can only be spent to cast artifact spells.
Infinite copies of nonland permanents you control.