Is it permissible to dispose of a piece of gold that was found a year and eight months ago, knowing that the search for its owner was not continuous throughout this period?

The definition of the foundling is continuous, close to where it was found. The definition begins daily, then every two days, then weekly, then monthly. If the definition is completed for a year in this manner, even if it is interrupted, then the definition is complete, as continuity is not a condition for the year of definition. If the year of definition has not been completed, then you must complete the remainder of it.