Some Drop-in Gyms in Taipei suggestions
this one is near Zhonghsan station and has single , monthly and subscription (maybe 1 year?)
A nearby 24hour gym
Also you can go to the Sport Center 臺北市中山運動中心 ,
gym is 50ntd per hour and 1350ntd for 30 hours (45 days)
健身分享卡1,350元（健身30小時，期限45天）
單次卡50元/時
https://cssc.cyc.org.tw/sportscenter/1