Pull string on fluorescent light broke

You can get inside one of those fittings in seconds to check if the switch is still viable & merely needs the pull-cord reattaching.

Rotate the two tubes 90° to remove - the pins need to line up with the slots, reverse to re-insert. Underneath will be two plastic 'screw-heads', which also need to be rotated 90° to unlock the case cover. [A few you just lever out but most have the locking screws].

That will give you access to the entire innards. You can do this without even unmounting it [you'd have to do it to unmount it anyway, as that's where it will be fastened to the ceiling], so long as that pipe can be worked around.

Note for future searches who may not have the exact same situation with a plugged appliance… switch off at the mains first. Unplug or kill the circuit back at the box before opening. Use a mains tester, even a cheap one that beeps will give more false positives than false negatives.