Upgrade minimum Node version 22 to align with upstream

[jonthysell]

Summary

We will need to update all parts of the repo to make Node 22 the minimum version. This includes coordinating:

1. Creating a new VM image which installs a version of Node 22.
2. Updating our rnw-dependencies.ps1 dependency script to require (and install if necessary) the same version as in the VM images
3. Update the minimum node engine version in all of our packages
4. Fixing all the issues that may arise with the upgrade

Motivation

In facebook/react-native@df39ead, upstream moved from Node 18 to Node 22. We will to need to be ready for that when the integrations catch up and it must be there for 0.81.

Basic Example

No response

Open Questions

No response

[jonthysell]

I've tested against the new VMs with Node 22 in #14984 and run into some more issues that will need to be addressed when we catch up on integrations and have to migrate.

1. Publishing to / using Verdaccio seems to have some problems which blocks cli tests
2. Linting complains about flow issues that it didn't before
3. Setting up test servers doesn't work during Integration testing

[jonthysell]

@vivekkhare31 Can you assign this to whomever is on the integration schedule when this upstream commit facebook/react-native@df39ead comes around?