If you pay attention to the source you've cited, you'll notice that:

a) the EU requires a Certificate of Recovery, which has stringent requirements,

b) the EU requires mandatory PCR tests for people holding a Recovery Certificate after 180 days from the positive PCR test, which are not required for fully vaccinated persons,

c) to avoid mandatory PCR tests a recovered person needs to take at least a single dose of a vaccine.

If you read your source, you'll eventually get to this info.

You can also get a test certificate after getting a RAT test in any drop-in testing center 30 mins before you travel.

The fact is that the rest of the world understands this while in the US you will chant the mantra "trust the science" while ignoring the science because this like everything has been turned into a religious war between the two halves of the political spectrum