refactor: version aware package manager usage, fix #4, fix #2, fix #6

[amrbashir]

What kind of change does this PR introduce?

• Bugfix
• Feature
• Docs
• New Binding issue #___
• Code style update
• Refactor
• Build-related changes
• Other, please describe:

Does this PR introduce a breaking change?

• Yes, and the changes were approved in issue #___
• No

Checklist

• When resolving issues, they are referenced in the PR's title (e.g fix: remove a typo, closes #___, #___)
• A change file is added if any packages will require a version bump due to this PR per the instructions in the readme.
• I have added a convincing reason for adding this feature, if necessary

Other information

TODOs:

• Change file
• Actually build and run the PR
• Tests (another PR maybe?):
  • e2e tests with published @tauri-apps/cli ?
  • e2e tests with local @tauri-apps/cli ?
  • maybe some unit tests?

[amrbashir]

looks like tests pass now

[jbolda]

I like where you went with the package manager. It was definitely needed. I think switching away from the shorthand pm is a good idea, but the rest are more comments than anything.