Has become or has became how yo use in sentence so verb and subject match?
Has become.
The 3rd person singular (he, she, it) uses 'has become.' The
other persons of the conjugation use 'have become.'
He has become class president.
She has become homecoming princess.
It has become time to go.
'Become' is the correct participial form of the verb; is become,
has become, had become, might have become, will become, etc.
'Became' is the simple past tense conjugation of the verb, and is
never used as the participle.