It is true that undetectable equals untransmittable, and you can not get HIV.
BUT... there is always a BUT...
If for whatever the meds quit working (and it's rare that they do) or if the person doesn't take their meds as prescribed, or doesn't take their meds at all, that HIV will come back and you wouldn't know it until the next blood lab that could be another 3 months away, and you CAN BECOME INFECTED.
So, with that in mind, yes it is safe, but there is still a very, teeny, tiny bit of risk.
It would work even better in your favor, if you took prep as well, then the risk would be even much lower than a very, teeny, tiny, bit.

Hi René, yes, I've had partners who were HIV-negative, meaning partners who don't have HIV.

There's no risk of transmitting the virus as long as you're undetectable.

Hola René si he tenido parejas cero discordante osea parejas que no tienen VIH.
No hay ningún riesgo de trasmitir el virus siempre y cuando seas indetectable.

That is exactly what it means :) as long as your viral load is under 200 you are considered virally suppressed and unable to transmit HIV via sex.

You do still need to be on the lookout for other STD & STI like we tell people on PrEP the rates of other transmissions can be elevated in people who are only paying attention to avoiding HIV or pregnancy (birth control).