I faced the same issue. Cypress was not able to detect the Chrome browser installed in my Windows system.
I have Windows 11, two versions of Cypress v13.6.4 and v12.10.0 across projects.
I had installed the Chrome browser for 'current user'. It was installed in the User's profile folder. Cypress was not able to find the Chrome browser.
Later, I installed Chrome browser for 'all users'. This time Chrome was installed in 'C:\Program Files\Google\Chrome\Application' folder. After this Cypress was able to detect Chrome browser in my system.
Try installing Chrome for 'all users'.