on the way is the verb. A verb describes something someone or something is doing.
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"Nixon hoped his Vietnamization policy would end US involvement in the Vietnam War"
Or "Vietnamization was the withdrawal of American troops"
The colomber in the story pursued Stefano because he wanted to give him the pearl of the sea. Stefano spent his whole life thinking that the colomber was a bad omen, and trying to avoid it. However, the irony is that the colomber never intended anything bad to happen to Stefano. On the contrary, he wanted to give him the pearl, which brings good luck to whoever possesses it.