There is usually a short delay, or latency, between the Studio recording and the live stream the viewers on the other platform see.
It can vary depending on the other platform's settings and is generally around 20 seconds or less.
NOTE:
You may be able to change the length of the delay using the settings of the other platform. For example, YouTube's 'Normal latency' setting is around 10 seconds but switching to its 'Ultra low-latency' setting reduces the delay to around 3 seconds.