Part 6/8:
An example is the Palantír—seeing stones that are capable of interacting with Sauron. When Frodo sits on the Throne of Vision while wearing the Ring, he unwittingly connects with Sauron's consciousness, escalating the risks the Ring poses.
The Caveat at Mount Doom
Isaac also points out two key moments in "The Return of the King," where the proximity to Mordor elevates the risk of being detected. When Sam realizes that wearing the Ring would reveal his location to Sauron, or when Frodo's wavering resolve leads him to claim the Ring over Mount Doom, both instances illustrate that the environment and intent greatly affect Sauron's awareness.