Species actually don’t have a rigid definition that works across all organisms. The most common definition is the one you gave but sometimes it simply doesn’t work, for example any organism the doesn’t use sexual reproduction doesn’t fit this definition. Clarification of extinct populations would also be an issue. Even considering organisms this is usually used with, there are exceptions. For example; domesticated cattle and American bison, coyotes and wolves, and most cat breeds with various wild species.
Species actually don’t have a rigid definition that works across all organisms. The most common definition is the one you gave but sometimes it simply doesn’t work, for example any organism the doesn’t use sexual reproduction doesn’t fit this definition. Clarification of extinct populations would also be an issue. Even considering organisms this is usually used with, there are exceptions. For example; domesticated cattle and American bison, coyotes and wolves, and most cat breeds with various wild species.