After two seasons with Piráti Chomutov of the Czech Extraliga (ELH), Lauko was selected in the third round (77th overall) by the Boston Bruins in the 2018 NHL Entry Draft.

[1] Lauko joined the Rouyn-Noranda Huskies of the Quebec Major Junior Hockey League (QMJHL) for the 2018–19 season.

On 17 August 2020, the Bruins loaned Lauko to HC Energie Karlovy Vary of the Czech Extraliga until the commencement of the delayed 2020–21 North American season.

On 5 July 2023, Lauko signed a two-year contract worth $787,500 AAV with the Bruins, with the first year being a two-way deal.

[13] On March 6, 2025, Lauko was traded back to the Bruins, alongside Marat Khusnutdinov and a sixth-round draft pick, in exchange for Justin Brazeau.