Where Teams stores the recording
Microsoft Teams saves meeting recordings as MP4 files, but where they end up depends on how the meeting was set up. A scheduled or ad-hoc meeting that is not tied to a channel goes to the OneDrive of the person who started the recording, into a folder named Recordings. A meeting held inside a channel goes to the SharePoint site behind that channel, in the Files tab, again under a Recordings folder. The link that appears in the meeting chat points to one of those two places.
Transcrify cannot open that link, because OneDrive and SharePoint files are protected by the tenant's permissions. Open the recording in your browser, use the Download option in the toolbar, and upload the saved MP4 here. If Download is missing, the organisation has restricted it, and the person who recorded the meeting will have to send you the file another way.