If you have a company laptop, definitely use it. It will protect you from mixing company and private content. In practice that will save you from cases like "why is confidential information on your private inbox", "why is company accessed by a worm which spreads only via (game you play)", and accidental "why are you watching Netflix via company VPN". It's just not worth the risk to mix contexts. If you need bigger screen, get a bigger screen to plug into the company laptop.
TeamViewer has different use case normally (support with active person on the other end) - look for a better/native remote login solution if you can. Windows remote desktop, or ssh/vnc would be better if available. Alternatively https://www.nomachine.com/ is very cross-platform and works great.
TeamViewer has different use case normally (support with active person on the other end) - look for a better/native remote login solution if you can. Windows remote desktop, or ssh/vnc would be better if available. Alternatively https://www.nomachine.com/ is very cross-platform and works great.