Keep cooking, adjusting heat if necessary, until other side is browned, another 10 minutes or so.
Adjust heat so the water is at a lively simmer.
Adjust heat so sauce is at a very slow simmer.
Cook for 4 minutes on each side, adjusting heat so butter does not brown.
Cook, adjusting heat so chicken browns on one side without burning.
Brown well, adjusting heat as needed, then turn and cook for 3 minutes.
Add thighs, browning on one side for about 5 minutes and adjusting heat if needed, then turn.
Bring to a boil, adjust heat and let mixture simmer about 10 minutes.
Adjust heat so that each side browns in about 2 minutes.
Adjust heat as necessary and fry the tiles, a few at a time, until golden.