>>2046080 (OP)Headbadge is Giant. 4 cables, so it's multispeed, front and back shifting.
My best guess is a Giant Cypress W from about 20 years ago or a more recent Giant Cypress DX W. The W stands for Womens.
Might be a giant liv flourish, from before Liv had different headbages.
https://www.liv-cycling.com/global/showcase/flourish
Note that there's nothing wrong with men riding them. Also, Mr Reed is probably a manlet, if that matters.
Pic related. It's a Giant Cypress W from around 2004-2008.