Use Incognito mode to use meeting link

I missed a job interview two weeks ago because when I tried to use the Teams meeting link that the institution sent me, it took me to my Teams login instead of to the meeting. I ended up in a chat room rather than the meeting. Extremely frustrating and I have lost the chance of getting the job.
The only way around this, I have found, is to use incognito mode by clicking top right on the browser. I wish Microsoft would solve this issue.