Do current COVID-19 vaccines also protect against the mutated variants of the virus?

The European Medicines Agency (EMA) has approved the use of modified COVID-19 vaccines (Comirnaty and Spikevax). These adapted vaccines are effective against both the original variant of COVID-19 and the Omicron variant and may be administered from the age of 12 years to people who have already received their first two or three (booster)vaccines. The COVID-19 virus changes constantly (although more slowly than the seasonal flu virus). Some vaccines remain effective for many years after their development and provide long-term protection, while other virus strains (such as seasonal flu) change so frequently and to such an extent that the composition of a vaccine must be updated annually in order to be effective. The changes of the COVID-19 virus-strains will be strictly monitored. If it appears that a COVID-19 vaccine is less effective against a new variant, the vaccine will be adjusted.