Singular Forms of Other, Another v. s. The Other

The singular forms of these words are as follows:
 * Other: This word is already singular. It can be used with both singular and plural nouns.
   * Examples:
     * "I have two dogs. One is brown, and the other is black."
     * "Some people like to read books, while others prefer to watch movies."
 * Another: This word is also already singular. It means "one more" or "an additional."
   * Examples:
     * "I would like another piece of cake."
     * "Can you give me another chance?"
 * The Other: This phrase is also singular. It refers to a specific thing or person that is different from the one already mentioned.
   * Examples:
     * "I have two cars. One is red, and the other is blue."
     * "John went to the store, and the other stayed home."
Note: The plural forms of these words are:
 * Others: This is the plural form of "other."
 * The Others: This is the plural form of "the other."