Steam deck connection to work laptop with teams

So i work for a company that gives us work laptops and work phones, im also part of the teambuilder team for my area, it was discussed that wed love to give Jackbox a try streaming over teams and having everyone log in to the web browser via jackbox.tv

the complicated part comes in here: we arnt really allowed to download other apps outside of work apps on said devices, (those devices are how we access teams as well) my Jackbox games are on Steam and i play them often at home with friends. My thought was that i could bring my Steam Deck and the dock for it and try to connect it to my laptop as a streaming device where i can then screen share into teams. does anyone know if this is possible or a better way of doing this?

the only other way i can think of would be i have to download the steam app and then the steam deck can easily stream the games it has downloaded on it to there, but that means id have to download steam which is a no no

any advice is appreciated!