By Mateusz Rabiega (Reuters) -Shares of European luxury players rose on Tuesday, pushing the European luxuries index to its highest level since late May this year, as designing debuts among fashion houses and a push for affordability gave investors hope that the sector was set for a gradual comeback. The rally was led by the big French names, with Kering, Christian Dior and LVMH rising between 3% and 7% as of 1220 GMT, while most of the remaining index constituents gained 1% to 3%. Luxury groups in Europe have been seeking to turn around their fortunes that had soured as U.S. tariffs and slower demand in China put a dent in their profits. New designers at houses of Gucci, Bottega Veneta and Dior presented their collections at last week's Milan Fashion week. "Investors are very pleased with

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