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The method to determine the last column within a specific range in appScript is by using the getLastColumn() method. This method returns the index of the last column with content within the range, starting from the first column in the range.

For example, if you have a range A1:D5 and you want to determine the last column in this range, you can use the following code:

var sheet = SpreadsheetApp.getActiveSheet();
var range = sheet.getRange("A1:D5");
var lastColumn = range.getLastColumn();

Logger.log(lastColumn); // Output: 4 (since the last column in the range is D)

Note that if there are any empty columns at the end of the range, the getLastColumn() method will still return the index of the last column with content. If you want to exclude empty columns, you can use the getDisplayValues() method to get an array of values in the range and loop through it to determine the last non-empty column index.