I would not opt for cheap and nasty lamination.
My suggestion: Clear everything from the room first. Before addressing the floor, open the manhole in the ceiling to inspect for debris, vermin, and the condition of the electrical wiring. It would also be a good opportunity to check the ceiling/roof insulation and ventilation. If necessary, consider cutting a hole to install permanent access for future inspections.
If the floor is old Thai hardwood, it would be a shame to cover it. I recommend tightening the loose floorboards with screws and renting or purchasing a hand-held belt sander. With some effort, you can restore the boards to a condition suitable for polyurethane lacquer, applied with a roller or brush. Don’t worry about the floor's unevenness or squeaks—these add character to an older home. By the way, some floor tiles on the market even have an audible squeak built-in!