[8.15](backport #5270) Increase watcher in upgrade tests to timeout after 10m

[mergify]

What does this PR do?

Increase the timeout we wait for the watcher to stop to 10m from 1m.

Why is it important?

7.17.23 has a regression where it will upgrade an 8.x release then roll back after a few minutes.
The expected fix is elastic/beats#40452 which will affect 7.17.24.

Checklist

• My code follows the style guidelines of this project
• I have commented my code, particularly in hard-to-understand areas
• I have made corresponding changes to the documentation
• I have made corresponding change to the default configuration files
• I have added tests that prove my fix is effective or that my feature works
• I have added an entry in ./changelog/fragments using the changelog tool
• I have added an integration test or an E2E test

Disruptive User Impact

How to test this PR locally

Related issues

• Relates Upgraded 8.15.0 BC6 agent from 7.17.23 falls back to 7.17.23 after sometime. #5259

---

This is an automatic backport of pull request #5270 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 6b591eb has failed:

On branch mergify/bp/8.15/pr-5270
Your branch is up to date with 'origin/8.15'.

You are currently cherry-picking commit 6b591eb4f0.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	modified:   testing/upgradetest/upgrader.go

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   .agent-versions.json

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally

[AndersonQ]

it should be done by our automation: #5411