LONDON—Business activity across the euro zone accelerated sharply last month as demand soared, particularly in the bloc’s dominant services industry, according to a survey mostly conducted before Russia invaded Ukraine. As the Omicron coronavirus variant swept across Europe earlier this year, many governments reimposed restrictions. But most of those curbs have been eased. IHS Markit’s final Composite Purchasing Managers’ Index, seen as good gauge of overall economic health, climbed to a five-month high of 55.5 in February from 52.3 in January. However, that was below the 55.8 preliminary estimates which contained 82 percent of replies and was published on Feb. 21—before the Russian invasion. “The survey data for February depict a euro zone economy that was regaining robust growth momentum ahead of the invasion of Ukraine,” said Chris Williamson, chief business economist at IHS Markit. “Business activity accelerated to a pace commensurate with GDP growth in excess of 0.6 percent, …