可能形 => Potential form N4
甲斐がない/甲斐(も)なく => it's not worth one's efforts to do something N2
副詞 + する => Having the nature of..., in condition N3
Description
甲斐がある => It’s worth one’s efforts to do something N2
を契機に => as a good opportunity/chance to N2
Expected
を[機「き」]に => Use A as an opportunity N1
Time, Situation
[可能系「かのうけい」] => Can, be able to, be possible to N4
Can, Should, Must
を[契機「けいき」] => As a good opportunity A, (do) B N2
Information, Report
をきっかけに/を契機に => with… as a start; as a result of; taking advantage of N2