Thank you for reaching out to us on the Microsoft Q&A forum.
When a GitHub Bash script requests a password during installation, it indicates the need for elevated privileges to execute specific actions, like modifying protected directories or installing system-wide dependencies.
To proceed, input the password associated with the user account possessing administrative rights on your system. This password is the same one used for performing administrative tasks or effecting system alterations. By supplying this password, you authorize the script to acquire the requisite permissions for successful installation.
If the information is helpful, please accept the answer by clicking the "Upvote" and "Accept Answer" on the post.
If you are still running into issues, kindly attach the screenshots for reference and please let us know in the comments. We are glad to help you.
(NOTE: Please conceal all your privacy details before posting).
Thank you.