To learn more, CLEAN the engine front area really good with engine degreaser, brake parts cleaner etc.
Then pressure up the system without running the engine so you can clearly see the first hint of the leak.
A cooling system pressure tester can be rented/loaned at parts places like Auto Zone. It’s a hand air pump with a radiator cap attatchment.
Your water pump sits on TWO gaskets on the front of the timing cover.
water pump - gasket - spacer plate - gasket - timing cover - gasket - block