google forms – Quiz/survey website which can embedd javascript

I would like to conduct a survey where participants first play a very short (~1 minute) “game” I’ve made and then answer a bunch of questions regarding their experince.

Is there a survey website (like surveymonkey, typeform, qualtrix) which can embedd a small javascript game from my website, and then recieve output from it (maybe read a cookie, or some other way). It does not matter if its a paid service,

And before you ask, Even thought its probably doable, I cant create my own survey on my website, I would need it to be hosted.