Hi,
I’m in a similar new work process, just minus the automation. I’m creating test cases to give the product its first ever proper, ground-up test (I’m their first tester), and part of that meant choosing a test case management tool. We don’t use JIRA here (Azure DevOps instead) but I did work with JIRA at my last place. There, they used TestRail to house test cases, with an integration to JIRA that was loosely used to link tickets, and it seemed very useful. They also used it as a reporting tool for the automation scripts run by the automation testers. I’ve never used Zephyr or XRAY but I’ve heard good things.
In my current place, I considered (and tried) qase.io, TestPad, CucumberStudio, and TestRail for the test case management tool. They seemed to have baseline similarities, with different features for different use-cases. CucumberStudio looked like it could have good automation integration, but I ended up choosing TestRail because it has the most relevant features for what my needs are, and caters for expansion and re-usability. I did a quick google and it seems it can be used with Cypress, so that could be something to consider.
I’m sorry if my reply hasn’t helped at all, but there could be a kernel of something useful in there?