With CBC experiments, it is very difficult to obtain enough information from a single respondent to calculate in a stable way the part-worth utilities. (The typical individual-level analysis, such as HB, represents a weighted combination of the respondent's preferences with the preferences for the population of respondents).
If you want to be able to show respondents their most preferred product in a Lighthouse Studio survey, then I recommend you create a BYO (Build Your Own) type exercise prior to your CBC questions. This is simple, since you can create a select-type question for each attribute. Show attribute 1's levels, ask respondent which level is most preferred. Show attribute 2's levels, ask respondent which level is most preferred. Then, after the CBC questionnaire, show respondent a product concept that it made up of the levels picked from the series of select-type questions.
What is more, you can leverage the BYO questions during HB estimation as covariates, so information from those additional questions is not lost and can help you obtain better overall HB results.