UI: Correct browse behavior in non-empty input edit line

[tuduweb]

Description

Correct browse behavior in non-empty input edit line, to keep single-file and multi-file (selected) behavior consistent

Motivation and Context

Found when debugged

before:

https://user-images.githubusercontent.com/30559085/218437695-31b663bb-35bf-421f-818e-06c7a8b86c4d.mp4

after:

https://user-images.githubusercontent.com/30559085/218437754-34fbde2a-7c1c-41b3-ba53-63542d376b42.mp4

How Has This Been Tested?

Just run again win10, latest branch

Types of changes

• Bug fix (non-breaking change which fixes an issue)

Checklist:

• [x] My code has been run through clang-format.
• [x] I have read the contributing document.
• [x] My code is not on the master branch.
• [x] The code has been tested.
• [x] All commit messages are properly formatted and commits squashed where appropriate.
• [x] I have included updates to all appropriate documentation.