Do I have to buy the games again?

At that time I bought almost all of the Sims 3 games on CD in the store.

Unfortunately, my new laptop doesn't have a CD drive. Can you write to EA or Origin somehow and give your codes to get access to the download version or do I have to buy all of the games again?

Perhaps the CDs have codes in them that you can redeem in the Origin Launcher.
If not, then I think you have to buy it again, Sims 4 costs 6.50 euro on MMOGA, then you have the newer part right away.

https://www.mmoga.net/EA-Games/Die-Sims-4.html?ref=392¤cy=EUR

Yes you do (or you can buy a CD drive).

But you can write to support, maybe something can be done

I already have Sims 4, but nothing beats Sims 3 😂

Thank you so much.