Describe the purpose and usage of Lua's table manipulation functions, including `insert()`, `remove()`, and `sort()`. Provide code examples for each function.

Lua's table manipulation functions, including `insert()`, `remove()`, and `sort()`, provide powerful capabilities for working with Lua tables. Here's a description of each function along with code examples showcasing their purpose and usage: 1. `table.insert()`: The `table.insert()` function is used to insert elements into a Lua table at a specified position. It allows you to add new elements to a table dynamically, expanding its size. The general syntax of `table.insert()` is `table.insert(table, [position,] value)`. Here, `table` represents the table to modify, `position` (optional) specifies the position at which to insert the value (default is the end of the table), and `value` is the element to insert. Example: ``` lua`local fruits = { "apple", "banana", "orange" } -- Insert a new fruit at the end of the table table.insert(fruits, "grape")....