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A newly developed approach involving low-background cryogenic bolometer based on <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\mathrm {Tm}_{3} \\mathrm {Al}_{5} \\mathrm {O}_{12}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:msub><mml:mi>Tm<\/mml:mi><mml:mn>3<\/mml:mn><\/mml:msub><mml:msub><mml:mi>Al<\/mml:mi><mml:mn>5<\/mml:mn><\/mml:msub><mml:msub><mml:mi>O<\/mml:mi><mml:mn>12<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> crystal was used that allowed for significant improvement of sensitivity in comparison with previous <jats:inline-formula><jats:alternatives><jats:tex-math>$$^{169}\\mathrm {Tm}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:msup><mml:mrow\/><mml:mn>169<\/mml:mn><\/mml:msup><mml:mi>Tm<\/mml:mi><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula> based experiments. 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