A ship running to shore at full speed has quite a lot of inertia. And then they winch it further. So pretty much only the end is dealing with tides.

Ekaros answer is definitive, but if you didn't have those facilities and wanted to buy more time, you could beach the boat during a high spring tide (which is when the solar tides and lunar tides are in line), which would only occurs twice each lunar month

They start with superstructures etc, making the ships lighter. Then they pull them further up the coast as needed.

They just take a break from the work? The hull of the ship that came in on the last high tide is now broken, it's not going to float away.

I've seen the video. They drop an anchor and attach it to shore with a chain.

Some photos show the work continuing even with a ship surrounded by a little water.