@luisabsg
Very good. This would be method #1 as I mentioned.
So, on the OnSelect action of your button, use this formula (please replace names as needed):
UpdateIf(yourDataSource, ID=ThisItem.ID, {yourYesNoColumn: false})
(assuming false is the change needed)
Then your Gallery Items property would filter the list:
Filter(yourDataSource, yourYesNoColumn)
This will return all the items that have true for the yes/no column.