multiple string comparison in a single if statement shell script using OR gate

I am trying to compare the value stored in string variable with three different possible values and if any of them does not matches then trying to throw error, in a single if statement using the logical operator OR. But everytime I am getting error even though the value stored in the variable is same as one of the possible value. Please find the snippets I tried.

    if [[ "$TYPE" != "LOCAL" || "$TYPE" != "REMOTE" || "$TYPE" != "BOTH" ]]; then
        echo -e "\n\tINCORRECT OR NULL ARGUMENTS PASSED. PLEASE VERIFY AND CORRECT THE USAGE MENTIONED AS BELOW: \n"
        Usage
        exit 1
    fi


    if [[ "$TYPE" != "LOCAL" ]] || [["$TYPE" != "REMOTE" ]] || [["$TYPE" != "BOTH" ]]; then
        echo -e "\n\tINCORRECT OR NULL ARGUMENTS PASSED. PLEASE VERIFY AND CORRECT THE USAGE MENTIONED AS BELOW: \n"
        Usage
        exit 1
    fi