M2 Mac with 27" Thunderbolt display & external keyboard

After I finally damaged the screen on the M2 I bought an upgraded Mac Neo. Then I remembered I had an old Thunderbolt display and bought the appropriate cable and adapter to have a desktop Mac for my wife.

Eventually I got to the stage where all I need is an external keyboard and trackpad ormouse so I can restart in 'recovery mode.'

Got at least 3 of those lying around, if I can find where my wife 'hid' them. While searching fecklessly for them I wondered if I connect them to the M2, or the display. Then I realized the 'fix' should solve the problem of the M2's lid obstructing the view of the monitor.

Your thoughts and assistance would be appreciated while I ponder whether to buy a 4th keyboard/mouse rather than risk my wife's wrath when once again I ask, "Sweetheart! Do you remember where you . . . .