unset Not Working PHP Array

<?php
	session_start();
	
	$id = $_GET["id"];
	$name = $_GET["name"];
	$action = $_GET["action"];
	
	if (empty($_SESSION["people"])) {
		$_SESSION["people"] = array();
	}
	
	$people = $_SESSION["people"];
	
		$i = 0;
		echo "<p>Test: " . $people[0][0] . "</p>";
		echo "<p>Before Array: ";
		var_dump($_SESSION["people"]);
		echo "</p>";
		
		foreach ($people as $item) {
			echo "<p>Searching for: " . $id . "</p>";
			echo "<p>Current ID: " . $item[0] . "</p>";
			if ($item[0] == $id) {
				echo "Removing: " . $i;
				unset($people[$i]);
			} else {
				$i++;
			}
		}
		
		echo "<p>After Array: ";
		var_dump($_SESSION["people"]);
		echo "</p>";

		$_SESSION["people"] = $people;
	}

	foreach($people as $item) {
		echo "
			<input style=\"border: 1px solid #b97819; padding: 0 2px 0 2px; border-radius: 6px;\" type=\"button\" value=\"" . $item[1] . "\" onClick=\"removeContact(" . $item[0] . ");\" />
		";
?>