There are plenty of questions here which asks how to elevate priviliges from powershell, and almost all of them recommend this command:
Start-Process -Verb Ru
You can create a shortcut to always run Windows Terminal as administrator using this powershell script:
$WshShell = New-Object -comObject WScript.Shell
$Shortcut = $WshShell.CreateShortcut("$Home\Desktop\Windows Terminal.lnk")
$Shortcut.TargetPath = "$env:LOCALAPPDATA\Microsoft\WindowsApps\Microsoft.WindowsTerminal_8wekyb3d8bbwe\wt.exe"
$Shortcut.Save()
$bytes = [System.IO.File]::ReadAllBytes("$Home\Desktop\Windows Terminal.lnk")
$bytes[0x15] = $bytes[0x15] -bor 0x20 #set byte 21 (0x15) bit 6 (0x20) ON
[System.IO.File]::WriteAllBytes("$Home\Desktop\Windows Terminal.lnk", $bytes)
You can just paste it and run it from Windows Powershell ISE, it will create a Windows Terminal.lnk file on your desktop. Whenever you double click on that shortcut Windows terminal will run as an admnnistrator