Took a gander. The story looks okay and pretty well written.
My first issues were with some of the sentence flow for example
"As she climbed up the creaking rungs, Alex rubbed the corroded flakes off her hands when she reached the roof."
notice how you have two similar 1st events with insert after the event - it feels like you merged two separate sentences and it breaks the pacing.
The other issue that felt off for me is the flowery language - it might have been okay through most of the chapter but the chase scene felt at odds with it since it made it sluggish.
The content is fine but I felt that she had done a lot of unnecessary activity, even though you used that time to throw some exposition.
Which would have been okay if she isn't a well known-assassin? her actions felt...amateurish due to the detail they were described with. imagine if the reading is an effort and the more you read more effort you spend - as such due to how descriptive you were I spend more effort reading through her actions and thus I associated that effort with what she was doing.
Personally, I would write expert actions extremely quickly to highlight how effortlessly they perform their task.
Also a small tidbit - in the 1st paragraph of your synopsis "Alex Mercier" and "her past" sound repetitive