You placed the button inside the link itself. Therefore after closing the dialog, the browser processes the onclick event of the link which results in browsing to the to the link target.
You can remove the link elements completely and handle everything using the buttons:
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width">
<title>repl.it</title>
<link href="style.css" rel="stylesheet" type="text/css" />
</head>
<body bgcolor="grey" align="center">
<button onclick="myAlert('333.html')">Sign up</button><button onclick="window.location.href='22.html'">Log in</button>
<script>
function myAlert(redirect){
if (confirm('Are you sure you want to sign up?')) {
window.location.href=redirect
console.log('Thank you.');
} else {
}
}
</script>
</body>
</html>
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