[angular-apollo-tailwind]: Update Angular and other deps to latest versions

[honzikec]

Is your feature request related to a problem? Please describe.

The starter currently uses Angular 13.3. We should update it to use Angular 16 and update any other packages to their latest versions in the process.

Describe the solution you'd like

• Update Angular packages using https://update.angular.io/ as guide.
• Check other packages for latest compatible versions and update them as well.
• Run npm audit and fix any outstanding vulnerabilites.
• Test all the changes and update the related showcase.

Describe alternatives you've considered

Keeping it on outdated deps.

Additional context

No response