[ACS Chat] Updating the quick start to use node 22

[JoshuaLai]

Purpose

Updating dependency to node 22, and where applicable typescript version

Does this introduce a breaking change?

[ ] Yes
[x] No

Pull Request Type

What kind of change does this Pull Request introduce?

[ ] Bugfix
[ ] Feature
[ ] Code style update (formatting, local variables)
[x] Refactoring (no functional changes, no api changes)
[ ] Documentation content changes
[ ] Other... Please describe: