Google’s official stance is that subscriptions are attached to the channel , not the user profile. There is a YouTube Data API v3, but it requires OAuth authentication and coding knowledge. The API allows you to read subscriptions, but writing (adding) subscriptions to a new account is rate-limited and cumbersome.
What you need is a —a tool or method that allows you to copy subscribed channels to another YouTube account instantly. While YouTube does not offer a native "Transfer Subscriptions" button, the internet (and some clever code) has solved this problem. open the extension
Log into your old account, open the extension, and click "Collect Channel" or "Export". This will scrape a list of every channel you follow. open the extension